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Finding the Fourth Proportional to 3,014.15, 4,159.97 and 1,737.80

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Solution

The fourth proportional to 3,014.15, 4,159.97 and 1,737.80 is: 2,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.15 : 4,159.97 = 1,737.80 : x
  2. Step 2: Convert to fraction form
    3,014.15/4,159.97 = 1,737.80/x
  3. Step 3: Cross multiply
    3,014.15x = 4,159.97 × 1,737.80
  4. Step 4: Simplify right side
    3,014.15x = 7,229,166.38
  5. Step 5: Solve for x
    x = 7,229,166.38/3,014.15
  6. Step 6: Final answer
    x = 2,398.41

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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.