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Finding the Fourth Proportional to 2,701.38, 3,727.90 and 1,459.38

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Solution

The fourth proportional to 2,701.38, 3,727.90 and 1,459.38 is: 2,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.38 : 3,727.90 = 1,459.38 : x
  2. Step 2: Convert to fraction form
    2,701.38/3,727.90 = 1,459.38/x
  3. Step 3: Cross multiply
    2,701.38x = 3,727.90 × 1,459.38
  4. Step 4: Simplify right side
    2,701.38x = 5,440,400.41
  5. Step 5: Solve for x
    x = 5,440,400.41/2,701.38
  6. Step 6: Final answer
    x = 2,013.94

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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.