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Finding the Fourth Proportional to 2,429.71, 3,353.14 and 1,839.22

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Solution

The fourth proportional to 2,429.71, 3,353.14 and 1,839.22 is: 2,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.71 : 3,353.14 = 1,839.22 : x
  2. Step 2: Convert to fraction form
    2,429.71/3,353.14 = 1,839.22/x
  3. Step 3: Cross multiply
    2,429.71x = 3,353.14 × 1,839.22
  4. Step 4: Simplify right side
    2,429.71x = 6,167,162.15
  5. Step 5: Solve for x
    x = 6,167,162.15/2,429.71
  6. Step 6: Final answer
    x = 2,538.23

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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.