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Finding the Fourth Proportional to 1,737.88, 2,587.31 and 1,729.24

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Solution

The fourth proportional to 1,737.88, 2,587.31 and 1,729.24 is: 2,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.88 : 2,587.31 = 1,729.24 : x
  2. Step 2: Convert to fraction form
    1,737.88/2,587.31 = 1,729.24/x
  3. Step 3: Cross multiply
    1,737.88x = 2,587.31 × 1,729.24
  4. Step 4: Simplify right side
    1,737.88x = 4,474,079.94
  5. Step 5: Solve for x
    x = 4,474,079.94/1,737.88
  6. Step 6: Final answer
    x = 2,574.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.