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Finding the Fourth Proportional to 2,695.98, 4,044.03 and 748.23

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Solution

The fourth proportional to 2,695.98, 4,044.03 and 748.23 is: 1,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.98 : 4,044.03 = 748.23 : x
  2. Step 2: Convert to fraction form
    2,695.98/4,044.03 = 748.23/x
  3. Step 3: Cross multiply
    2,695.98x = 4,044.03 × 748.23
  4. Step 4: Simplify right side
    2,695.98x = 3,025,864.57
  5. Step 5: Solve for x
    x = 3,025,864.57/2,695.98
  6. Step 6: Final answer
    x = 1,122.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.