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Finding the Fourth Proportional to 2,372.22, 3,560.14 and 911.78

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Solution

The fourth proportional to 2,372.22, 3,560.14 and 911.78 is: 1,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.22 : 3,560.14 = 911.78 : x
  2. Step 2: Convert to fraction form
    2,372.22/3,560.14 = 911.78/x
  3. Step 3: Cross multiply
    2,372.22x = 3,560.14 × 911.78
  4. Step 4: Simplify right side
    2,372.22x = 3,246,064.45
  5. Step 5: Solve for x
    x = 3,246,064.45/2,372.22
  6. Step 6: Final answer
    x = 1,368.37

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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.