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Finding the Fourth Proportional to 3,281.60, 4,916.46 and 2,764.82

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Solution

The fourth proportional to 3,281.60, 4,916.46 and 2,764.82 is: 4,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.60 : 4,916.46 = 2,764.82 : x
  2. Step 2: Convert to fraction form
    3,281.60/4,916.46 = 2,764.82/x
  3. Step 3: Cross multiply
    3,281.60x = 4,916.46 × 2,764.82
  4. Step 4: Simplify right side
    3,281.60x = 13,593,126.94
  5. Step 5: Solve for x
    x = 13,593,126.94/3,281.60
  6. Step 6: Final answer
    x = 4,142.23

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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.