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Finding the Fourth Proportional to 2,276.31, 3,414.30 and 610.30

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Solution

The fourth proportional to 2,276.31, 3,414.30 and 610.30 is: 915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.31 : 3,414.30 = 610.30 : x
  2. Step 2: Convert to fraction form
    2,276.31/3,414.30 = 610.30/x
  3. Step 3: Cross multiply
    2,276.31x = 3,414.30 × 610.30
  4. Step 4: Simplify right side
    2,276.31x = 2,083,747.29
  5. Step 5: Solve for x
    x = 2,083,747.29/2,276.31
  6. Step 6: Final answer
    x = 915.41

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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.