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Finding the Fourth Proportional to 1,615.74, 2,229 and 1,144.32

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Solution

The fourth proportional to 1,615.74, 2,229 and 1,144.32 is: 1,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.74 : 2,229 = 1,144.32 : x
  2. Step 2: Convert to fraction form
    1,615.74/2,229 = 1,144.32/x
  3. Step 3: Cross multiply
    1,615.74x = 2,229 × 1,144.32
  4. Step 4: Simplify right side
    1,615.74x = 2,550,689.28
  5. Step 5: Solve for x
    x = 2,550,689.28/1,615.74
  6. Step 6: Final answer
    x = 1,578.65

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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.