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Finding the Fourth Proportional to 2,614.52, 3,924.14 and 2,336.46

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Solution

The fourth proportional to 2,614.52, 3,924.14 and 2,336.46 is: 3,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.52 : 3,924.14 = 2,336.46 : x
  2. Step 2: Convert to fraction form
    2,614.52/3,924.14 = 2,336.46/x
  3. Step 3: Cross multiply
    2,614.52x = 3,924.14 × 2,336.46
  4. Step 4: Simplify right side
    2,614.52x = 9,168,584.46
  5. Step 5: Solve for x
    x = 9,168,584.46/2,614.52
  6. Step 6: Final answer
    x = 3,506.80

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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.