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Finding the Fourth Proportional to 3,098.59, 4,271.13 and 2,434.30

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Solution

The fourth proportional to 3,098.59, 4,271.13 and 2,434.30 is: 3,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.59 : 4,271.13 = 2,434.30 : x
  2. Step 2: Convert to fraction form
    3,098.59/4,271.13 = 2,434.30/x
  3. Step 3: Cross multiply
    3,098.59x = 4,271.13 × 2,434.30
  4. Step 4: Simplify right side
    3,098.59x = 10,397,201.08
  5. Step 5: Solve for x
    x = 10,397,201.08/3,098.59
  6. Step 6: Final answer
    x = 3,355.46

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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.