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Finding the Fourth Proportional to 2,078.52, 3,118.14 and 781.80

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Solution

The fourth proportional to 2,078.52, 3,118.14 and 781.80 is: 1,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.52 : 3,118.14 = 781.80 : x
  2. Step 2: Convert to fraction form
    2,078.52/3,118.14 = 781.80/x
  3. Step 3: Cross multiply
    2,078.52x = 3,118.14 × 781.80
  4. Step 4: Simplify right side
    2,078.52x = 2,437,761.85
  5. Step 5: Solve for x
    x = 2,437,761.85/2,078.52
  6. Step 6: Final answer
    x = 1,172.84

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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.