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Finding the Fourth Proportional to 2,562.95, 3,845.84 and 2,377.05

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Solution

The fourth proportional to 2,562.95, 3,845.84 and 2,377.05 is: 3,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.95 : 3,845.84 = 2,377.05 : x
  2. Step 2: Convert to fraction form
    2,562.95/3,845.84 = 2,377.05/x
  3. Step 3: Cross multiply
    2,562.95x = 3,845.84 × 2,377.05
  4. Step 4: Simplify right side
    2,562.95x = 9,141,742.09
  5. Step 5: Solve for x
    x = 9,141,742.09/2,562.95
  6. Step 6: Final answer
    x = 3,566.89

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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.