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Finding the Fourth Proportional to 2,365.80, 3,542.54 and 1,264.78

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Solution

The fourth proportional to 2,365.80, 3,542.54 and 1,264.78 is: 1,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.80 : 3,542.54 = 1,264.78 : x
  2. Step 2: Convert to fraction form
    2,365.80/3,542.54 = 1,264.78/x
  3. Step 3: Cross multiply
    2,365.80x = 3,542.54 × 1,264.78
  4. Step 4: Simplify right side
    2,365.80x = 4,480,523.30
  5. Step 5: Solve for x
    x = 4,480,523.30/2,365.80
  6. Step 6: Final answer
    x = 1,893.88

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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.