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Finding the Fourth Proportional to 1,833.71, 2,748.13 and 1,344.47

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Solution

The fourth proportional to 1,833.71, 2,748.13 and 1,344.47 is: 2,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.71 : 2,748.13 = 1,344.47 : x
  2. Step 2: Convert to fraction form
    1,833.71/2,748.13 = 1,344.47/x
  3. Step 3: Cross multiply
    1,833.71x = 2,748.13 × 1,344.47
  4. Step 4: Simplify right side
    1,833.71x = 3,694,761.24
  5. Step 5: Solve for x
    x = 3,694,761.24/1,833.71
  6. Step 6: Final answer
    x = 2,014.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.