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Finding the Fourth Proportional to 2,610.86, 3,915.30 and 761.36

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Solution

The fourth proportional to 2,610.86, 3,915.30 and 761.36 is: 1,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.86 : 3,915.30 = 761.36 : x
  2. Step 2: Convert to fraction form
    2,610.86/3,915.30 = 761.36/x
  3. Step 3: Cross multiply
    2,610.86x = 3,915.30 × 761.36
  4. Step 4: Simplify right side
    2,610.86x = 2,980,952.81
  5. Step 5: Solve for x
    x = 2,980,952.81/2,610.86
  6. Step 6: Final answer
    x = 1,141.75

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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.