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Finding the Fourth Proportional to 2,381.62, 3,572.17 and 626.80

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Solution

The fourth proportional to 2,381.62, 3,572.17 and 626.80 is: 940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.62 : 3,572.17 = 626.80 : x
  2. Step 2: Convert to fraction form
    2,381.62/3,572.17 = 626.80/x
  3. Step 3: Cross multiply
    2,381.62x = 3,572.17 × 626.80
  4. Step 4: Simplify right side
    2,381.62x = 2,239,036.16
  5. Step 5: Solve for x
    x = 2,239,036.16/2,381.62
  6. Step 6: Final answer
    x = 940.13

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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.