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Finding the Fourth Proportional to 2,614.04, 3,918.62 and 1,152.39

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Solution

The fourth proportional to 2,614.04, 3,918.62 and 1,152.39 is: 1,727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.04 : 3,918.62 = 1,152.39 : x
  2. Step 2: Convert to fraction form
    2,614.04/3,918.62 = 1,152.39/x
  3. Step 3: Cross multiply
    2,614.04x = 3,918.62 × 1,152.39
  4. Step 4: Simplify right side
    2,614.04x = 4,515,778.50
  5. Step 5: Solve for x
    x = 4,515,778.50/2,614.04
  6. Step 6: Final answer
    x = 1,727.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.