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Finding the Fourth Proportional to 2,449.59, 3,382.14 and 1,881.47

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Solution

The fourth proportional to 2,449.59, 3,382.14 and 1,881.47 is: 2,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.59 : 3,382.14 = 1,881.47 : x
  2. Step 2: Convert to fraction form
    2,449.59/3,382.14 = 1,881.47/x
  3. Step 3: Cross multiply
    2,449.59x = 3,382.14 × 1,881.47
  4. Step 4: Simplify right side
    2,449.59x = 6,363,399.87
  5. Step 5: Solve for x
    x = 6,363,399.87/2,449.59
  6. Step 6: Final answer
    x = 2,597.74

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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.