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Finding the Fourth Proportional to 3,098.39, 4,642.11 and 1,634.31

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Solution

The fourth proportional to 3,098.39, 4,642.11 and 1,634.31 is: 2,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.39 : 4,642.11 = 1,634.31 : x
  2. Step 2: Convert to fraction form
    3,098.39/4,642.11 = 1,634.31/x
  3. Step 3: Cross multiply
    3,098.39x = 4,642.11 × 1,634.31
  4. Step 4: Simplify right side
    3,098.39x = 7,586,646.79
  5. Step 5: Solve for x
    x = 7,586,646.79/3,098.39
  6. Step 6: Final answer
    x = 2,448.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.