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Finding the Fourth Proportional to 1,502.97, 2,074.91 and 1,006.46

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Solution

The fourth proportional to 1,502.97, 2,074.91 and 1,006.46 is: 1,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.97 : 2,074.91 = 1,006.46 : x
  2. Step 2: Convert to fraction form
    1,502.97/2,074.91 = 1,006.46/x
  3. Step 3: Cross multiply
    1,502.97x = 2,074.91 × 1,006.46
  4. Step 4: Simplify right side
    1,502.97x = 2,088,306.29
  5. Step 5: Solve for x
    x = 2,088,306.29/1,502.97
  6. Step 6: Final answer
    x = 1,389.46

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