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Finding the Fourth Proportional to 1,612.02, 2,224.46 and 948.77

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Solution

The fourth proportional to 1,612.02, 2,224.46 and 948.77 is: 1,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.02 : 2,224.46 = 948.77 : x
  2. Step 2: Convert to fraction form
    1,612.02/2,224.46 = 948.77/x
  3. Step 3: Cross multiply
    1,612.02x = 2,224.46 × 948.77
  4. Step 4: Simplify right side
    1,612.02x = 2,110,485.05
  5. Step 5: Solve for x
    x = 2,110,485.05/1,612.02
  6. Step 6: Final answer
    x = 1,309.22

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Half scale
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Double scale
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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.