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Finding the Fourth Proportional to 2,874.90, 4,305.56 and 1,414.47

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Solution

The fourth proportional to 2,874.90, 4,305.56 and 1,414.47 is: 2,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.90 : 4,305.56 = 1,414.47 : x
  2. Step 2: Convert to fraction form
    2,874.90/4,305.56 = 1,414.47/x
  3. Step 3: Cross multiply
    2,874.90x = 4,305.56 × 1,414.47
  4. Step 4: Simplify right side
    2,874.90x = 6,090,078.38
  5. Step 5: Solve for x
    x = 6,090,078.38/2,874.90
  6. Step 6: Final answer
    x = 2,118.36

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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.