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Finding the Fourth Proportional to 2,284, 3,149.68 and 1,387.87

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Solution

The fourth proportional to 2,284, 3,149.68 and 1,387.87 is: 1,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284 : 3,149.68 = 1,387.87 : x
  2. Step 2: Convert to fraction form
    2,284/3,149.68 = 1,387.87/x
  3. Step 3: Cross multiply
    2,284x = 3,149.68 × 1,387.87
  4. Step 4: Simplify right side
    2,284x = 4,371,346.38
  5. Step 5: Solve for x
    x = 4,371,346.38/2,284
  6. Step 6: Final answer
    x = 1,913.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.