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Finding the Fourth Proportional to 2,705.86, 4,053.16 and 2,377.20

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Solution

The fourth proportional to 2,705.86, 4,053.16 and 2,377.20 is: 3,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.86 : 4,053.16 = 2,377.20 : x
  2. Step 2: Convert to fraction form
    2,705.86/4,053.16 = 2,377.20/x
  3. Step 3: Cross multiply
    2,705.86x = 4,053.16 × 2,377.20
  4. Step 4: Simplify right side
    2,705.86x = 9,635,171.95
  5. Step 5: Solve for x
    x = 9,635,171.95/2,705.86
  6. Step 6: Final answer
    x = 3,560.85

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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.