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Finding the Fourth Proportional to 1,502.33, 2,253.06 and 1,257.12

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Solution

The fourth proportional to 1,502.33, 2,253.06 and 1,257.12 is: 1,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.33 : 2,253.06 = 1,257.12 : x
  2. Step 2: Convert to fraction form
    1,502.33/2,253.06 = 1,257.12/x
  3. Step 3: Cross multiply
    1,502.33x = 2,253.06 × 1,257.12
  4. Step 4: Simplify right side
    1,502.33x = 2,832,366.79
  5. Step 5: Solve for x
    x = 2,832,366.79/1,502.33
  6. Step 6: Final answer
    x = 1,885.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.