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Finding the Fourth Proportional to 1,612.54, 2,224.51 and 1,052.75

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Solution

The fourth proportional to 1,612.54, 2,224.51 and 1,052.75 is: 1,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.54 : 2,224.51 = 1,052.75 : x
  2. Step 2: Convert to fraction form
    1,612.54/2,224.51 = 1,052.75/x
  3. Step 3: Cross multiply
    1,612.54x = 2,224.51 × 1,052.75
  4. Step 4: Simplify right side
    1,612.54x = 2,341,852.90
  5. Step 5: Solve for x
    x = 2,341,852.90/1,612.54
  6. Step 6: Final answer
    x = 1,452.28

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Half scale
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Double scale
Find fourth proportional to 1,613.54, 2,225.89 and 1,053.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.