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Finding the Fourth Proportional to 2,429.68, 3,353.10 and 1,839.28

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Solution

The fourth proportional to 2,429.68, 3,353.10 and 1,839.28 is: 2,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.68 : 3,353.10 = 1,839.28 : x
  2. Step 2: Convert to fraction form
    2,429.68/3,353.10 = 1,839.28/x
  3. Step 3: Cross multiply
    2,429.68x = 3,353.10 × 1,839.28
  4. Step 4: Simplify right side
    2,429.68x = 6,167,289.77
  5. Step 5: Solve for x
    x = 6,167,289.77/2,429.68
  6. Step 6: Final answer
    x = 2,538.31

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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.