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Finding the Fourth Proportional to 1,542.89, 2,126.63 and 1,149.77

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Solution

The fourth proportional to 1,542.89, 2,126.63 and 1,149.77 is: 1,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.89 : 2,126.63 = 1,149.77 : x
  2. Step 2: Convert to fraction form
    1,542.89/2,126.63 = 1,149.77/x
  3. Step 3: Cross multiply
    1,542.89x = 2,126.63 × 1,149.77
  4. Step 4: Simplify right side
    1,542.89x = 2,445,135.38
  5. Step 5: Solve for x
    x = 2,445,135.38/1,542.89
  6. Step 6: Final answer
    x = 1,584.78

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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.