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Finding the Fourth Proportional to 2,754.88, 4,132.50 and 1,023.52

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Solution

The fourth proportional to 2,754.88, 4,132.50 and 1,023.52 is: 1,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.88 : 4,132.50 = 1,023.52 : x
  2. Step 2: Convert to fraction form
    2,754.88/4,132.50 = 1,023.52/x
  3. Step 3: Cross multiply
    2,754.88x = 4,132.50 × 1,023.52
  4. Step 4: Simplify right side
    2,754.88x = 4,229,696.40
  5. Step 5: Solve for x
    x = 4,229,696.40/2,754.88
  6. Step 6: Final answer
    x = 1,535.35

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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.