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Finding the Fourth Proportional to 2,610.17, 3,914.12 and 760.84

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Solution

The fourth proportional to 2,610.17, 3,914.12 and 760.84 is: 1,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.17 : 3,914.12 = 760.84 : x
  2. Step 2: Convert to fraction form
    2,610.17/3,914.12 = 760.84/x
  3. Step 3: Cross multiply
    2,610.17x = 3,914.12 × 760.84
  4. Step 4: Simplify right side
    2,610.17x = 2,977,995.69
  5. Step 5: Solve for x
    x = 2,977,995.69/2,610.17
  6. Step 6: Final answer
    x = 1,140.92

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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.