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Finding the Fourth Proportional to 1,502.11, 2,254.38 and 637.03

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Solution

The fourth proportional to 1,502.11, 2,254.38 and 637.03 is: 956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.11 : 2,254.38 = 637.03 : x
  2. Step 2: Convert to fraction form
    1,502.11/2,254.38 = 637.03/x
  3. Step 3: Cross multiply
    1,502.11x = 2,254.38 × 637.03
  4. Step 4: Simplify right side
    1,502.11x = 1,436,107.69
  5. Step 5: Solve for x
    x = 1,436,107.69/1,502.11
  6. Step 6: Final answer
    x = 956.06

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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.