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Finding the Fourth Proportional to 2,614.48, 3,917.14 and 2,178.52

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Solution

The fourth proportional to 2,614.48, 3,917.14 and 2,178.52 is: 3,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.48 : 3,917.14 = 2,178.52 : x
  2. Step 2: Convert to fraction form
    2,614.48/3,917.14 = 2,178.52/x
  3. Step 3: Cross multiply
    2,614.48x = 3,917.14 × 2,178.52
  4. Step 4: Simplify right side
    2,614.48x = 8,533,552.59
  5. Step 5: Solve for x
    x = 8,533,552.59/2,614.48
  6. Step 6: Final answer
    x = 3,263.96

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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.