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Finding the Fourth Proportional to 1,513.92, 2,088.14 and 924.78

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Solution

The fourth proportional to 1,513.92, 2,088.14 and 924.78 is: 1,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.92 : 2,088.14 = 924.78 : x
  2. Step 2: Convert to fraction form
    1,513.92/2,088.14 = 924.78/x
  3. Step 3: Cross multiply
    1,513.92x = 2,088.14 × 924.78
  4. Step 4: Simplify right side
    1,513.92x = 1,931,065.49
  5. Step 5: Solve for x
    x = 1,931,065.49/1,513.92
  6. Step 6: Final answer
    x = 1,275.54

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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.