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Finding the Fourth Proportional to 2,149.60, 3,214.68 and 1,655.92

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Solution

The fourth proportional to 2,149.60, 3,214.68 and 1,655.92 is: 2,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.60 : 3,214.68 = 1,655.92 : x
  2. Step 2: Convert to fraction form
    2,149.60/3,214.68 = 1,655.92/x
  3. Step 3: Cross multiply
    2,149.60x = 3,214.68 × 1,655.92
  4. Step 4: Simplify right side
    2,149.60x = 5,323,252.91
  5. Step 5: Solve for x
    x = 5,323,252.91/2,149.60
  6. Step 6: Final answer
    x = 2,476.39

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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.