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Finding the Fourth Proportional to 2,381.81, 3,572.57 and 738.18

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Solution

The fourth proportional to 2,381.81, 3,572.57 and 738.18 is: 1,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.81 : 3,572.57 = 738.18 : x
  2. Step 2: Convert to fraction form
    2,381.81/3,572.57 = 738.18/x
  3. Step 3: Cross multiply
    2,381.81x = 3,572.57 × 738.18
  4. Step 4: Simplify right side
    2,381.81x = 2,637,201.57
  5. Step 5: Solve for x
    x = 2,637,201.57/2,381.81
  6. Step 6: Final answer
    x = 1,107.23

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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.