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Finding the Fourth Proportional to 2,610.42, 3,915.81 and 761.55

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Solution

The fourth proportional to 2,610.42, 3,915.81 and 761.55 is: 1,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.42 : 3,915.81 = 761.55 : x
  2. Step 2: Convert to fraction form
    2,610.42/3,915.81 = 761.55/x
  3. Step 3: Cross multiply
    2,610.42x = 3,915.81 × 761.55
  4. Step 4: Simplify right side
    2,610.42x = 2,982,085.11
  5. Step 5: Solve for x
    x = 2,982,085.11/2,610.42
  6. Step 6: Final answer
    x = 1,142.38

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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.