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Finding the Fourth Proportional to 3,188.60, 4,396.72 and 2,180.47

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Solution

The fourth proportional to 3,188.60, 4,396.72 and 2,180.47 is: 3,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.60 : 4,396.72 = 2,180.47 : x
  2. Step 2: Convert to fraction form
    3,188.60/4,396.72 = 2,180.47/x
  3. Step 3: Cross multiply
    3,188.60x = 4,396.72 × 2,180.47
  4. Step 4: Simplify right side
    3,188.60x = 9,586,916.06
  5. Step 5: Solve for x
    x = 9,586,916.06/3,188.60
  6. Step 6: Final answer
    x = 3,006.62

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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.