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Finding the Fourth Proportional to 2,655.87, 3,976.11 and 2,374.46

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Solution

The fourth proportional to 2,655.87, 3,976.11 and 2,374.46 is: 3,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.87 : 3,976.11 = 2,374.46 : x
  2. Step 2: Convert to fraction form
    2,655.87/3,976.11 = 2,374.46/x
  3. Step 3: Cross multiply
    2,655.87x = 3,976.11 × 2,374.46
  4. Step 4: Simplify right side
    2,655.87x = 9,441,138.22
  5. Step 5: Solve for x
    x = 9,441,138.22/2,655.87
  6. Step 6: Final answer
    x = 3,554.82

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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.