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Finding the Fourth Proportional to 2,610.69, 3,915.10 and 761.44

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Solution

The fourth proportional to 2,610.69, 3,915.10 and 761.44 is: 1,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.69 : 3,915.10 = 761.44 : x
  2. Step 2: Convert to fraction form
    2,610.69/3,915.10 = 761.44/x
  3. Step 3: Cross multiply
    2,610.69x = 3,915.10 × 761.44
  4. Step 4: Simplify right side
    2,610.69x = 2,981,090.36
  5. Step 5: Solve for x
    x = 2,981,090.36/2,610.69
  6. Step 6: Final answer
    x = 1,141.88

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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.