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Finding the Fourth Proportional to 3,098.80, 4,643.40 and 2,609.20

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Solution

The fourth proportional to 3,098.80, 4,643.40 and 2,609.20 is: 3,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.80 : 4,643.40 = 2,609.20 : x
  2. Step 2: Convert to fraction form
    3,098.80/4,643.40 = 2,609.20/x
  3. Step 3: Cross multiply
    3,098.80x = 4,643.40 × 2,609.20
  4. Step 4: Simplify right side
    3,098.80x = 12,115,559.28
  5. Step 5: Solve for x
    x = 12,115,559.28/3,098.80
  6. Step 6: Final answer
    x = 3,909.76

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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.