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Finding the Fourth Proportional to 2,724.29, 3,759 and 1,883.69

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Solution

The fourth proportional to 2,724.29, 3,759 and 1,883.69 is: 2,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.29 : 3,759 = 1,883.69 : x
  2. Step 2: Convert to fraction form
    2,724.29/3,759 = 1,883.69/x
  3. Step 3: Cross multiply
    2,724.29x = 3,759 × 1,883.69
  4. Step 4: Simplify right side
    2,724.29x = 7,080,790.71
  5. Step 5: Solve for x
    x = 7,080,790.71/2,724.29
  6. Step 6: Final answer
    x = 2,599.13

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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.