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Finding the Fourth Proportional to 2,710.55, 4,065.78 and 861.78

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Solution

The fourth proportional to 2,710.55, 4,065.78 and 861.78 is: 1,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.55 : 4,065.78 = 861.78 : x
  2. Step 2: Convert to fraction form
    2,710.55/4,065.78 = 861.78/x
  3. Step 3: Cross multiply
    2,710.55x = 4,065.78 × 861.78
  4. Step 4: Simplify right side
    2,710.55x = 3,503,807.89
  5. Step 5: Solve for x
    x = 3,503,807.89/2,710.55
  6. Step 6: Final answer
    x = 1,292.66

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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.