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Finding the Fourth Proportional to 2,118.69, 3,177.90 and 731.70

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Solution

The fourth proportional to 2,118.69, 3,177.90 and 731.70 is: 1,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.69 : 3,177.90 = 731.70 : x
  2. Step 2: Convert to fraction form
    2,118.69/3,177.90 = 731.70/x
  3. Step 3: Cross multiply
    2,118.69x = 3,177.90 × 731.70
  4. Step 4: Simplify right side
    2,118.69x = 2,325,269.43
  5. Step 5: Solve for x
    x = 2,325,269.43/2,118.69
  6. Step 6: Final answer
    x = 1,097.50

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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.