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Finding the Fourth Proportional to 2,710.69, 4,065.61 and 861.56

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Solution

The fourth proportional to 2,710.69, 4,065.61 and 861.56 is: 1,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.69 : 4,065.61 = 861.56 : x
  2. Step 2: Convert to fraction form
    2,710.69/4,065.61 = 861.56/x
  3. Step 3: Cross multiply
    2,710.69x = 4,065.61 × 861.56
  4. Step 4: Simplify right side
    2,710.69x = 3,502,766.95
  5. Step 5: Solve for x
    x = 3,502,766.95/2,710.69
  6. Step 6: Final answer
    x = 1,292.20

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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.