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Finding the Fourth Proportional to 3,013.88, 4,158.81 and 1,687.39

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Solution

The fourth proportional to 3,013.88, 4,158.81 and 1,687.39 is: 2,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.88 : 4,158.81 = 1,687.39 : x
  2. Step 2: Convert to fraction form
    3,013.88/4,158.81 = 1,687.39/x
  3. Step 3: Cross multiply
    3,013.88x = 4,158.81 × 1,687.39
  4. Step 4: Simplify right side
    3,013.88x = 7,017,524.01
  5. Step 5: Solve for x
    x = 7,017,524.01/3,013.88
  6. Step 6: Final answer
    x = 2,328.41

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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.