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Finding the Fourth Proportional to 3,098.71, 4,648.06 and 2,178.37

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Solution

The fourth proportional to 3,098.71, 4,648.06 and 2,178.37 is: 3,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.71 : 4,648.06 = 2,178.37 : x
  2. Step 2: Convert to fraction form
    3,098.71/4,648.06 = 2,178.37/x
  3. Step 3: Cross multiply
    3,098.71x = 4,648.06 × 2,178.37
  4. Step 4: Simplify right side
    3,098.71x = 10,125,183.80
  5. Step 5: Solve for x
    x = 10,125,183.80/3,098.71
  6. Step 6: Final answer
    x = 3,267.55

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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.