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Finding the Fourth Proportional to 1,728.74, 2,385.88 and 1,099.38

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Solution

The fourth proportional to 1,728.74, 2,385.88 and 1,099.38 is: 1,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.74 : 2,385.88 = 1,099.38 : x
  2. Step 2: Convert to fraction form
    1,728.74/2,385.88 = 1,099.38/x
  3. Step 3: Cross multiply
    1,728.74x = 2,385.88 × 1,099.38
  4. Step 4: Simplify right side
    1,728.74x = 2,622,988.75
  5. Step 5: Solve for x
    x = 2,622,988.75/1,728.74
  6. Step 6: Final answer
    x = 1,517.28

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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.