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Finding the Fourth Proportional to 2,327.77, 3,489.52 and 2,124.86

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Solution

The fourth proportional to 2,327.77, 3,489.52 and 2,124.86 is: 3,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.77 : 3,489.52 = 2,124.86 : x
  2. Step 2: Convert to fraction form
    2,327.77/3,489.52 = 2,124.86/x
  3. Step 3: Cross multiply
    2,327.77x = 3,489.52 × 2,124.86
  4. Step 4: Simplify right side
    2,327.77x = 7,414,748.30
  5. Step 5: Solve for x
    x = 7,414,748.30/2,327.77
  6. Step 6: Final answer
    x = 3,185.35

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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.