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Finding the Fourth Proportional to 3,098.36, 4,275.10 and 1,839.24

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Solution

The fourth proportional to 3,098.36, 4,275.10 and 1,839.24 is: 2,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.36 : 4,275.10 = 1,839.24 : x
  2. Step 2: Convert to fraction form
    3,098.36/4,275.10 = 1,839.24/x
  3. Step 3: Cross multiply
    3,098.36x = 4,275.10 × 1,839.24
  4. Step 4: Simplify right side
    3,098.36x = 7,862,934.92
  5. Step 5: Solve for x
    x = 7,862,934.92/3,098.36
  6. Step 6: Final answer
    x = 2,537.77

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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.