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Finding the Fourth Proportional to 1,344.10, 1,852.02 and 1,251.76

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Solution

The fourth proportional to 1,344.10, 1,852.02 and 1,251.76 is: 1,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.10 : 1,852.02 = 1,251.76 : x
  2. Step 2: Convert to fraction form
    1,344.10/1,852.02 = 1,251.76/x
  3. Step 3: Cross multiply
    1,344.10x = 1,852.02 × 1,251.76
  4. Step 4: Simplify right side
    1,344.10x = 2,318,284.56
  5. Step 5: Solve for x
    x = 2,318,284.56/1,344.10
  6. Step 6: Final answer
    x = 1,724.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.