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Finding the Fourth Proportional to 2,372.78, 3,559.17 and 641.41

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Solution

The fourth proportional to 2,372.78, 3,559.17 and 641.41 is: 962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.78 : 3,559.17 = 641.41 : x
  2. Step 2: Convert to fraction form
    2,372.78/3,559.17 = 641.41/x
  3. Step 3: Cross multiply
    2,372.78x = 3,559.17 × 641.41
  4. Step 4: Simplify right side
    2,372.78x = 2,282,887.23
  5. Step 5: Solve for x
    x = 2,282,887.23/2,372.78
  6. Step 6: Final answer
    x = 962.12

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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.