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Finding the Fourth Proportional to 3,414.64, 5,122.20 and 1,466.80

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Solution

The fourth proportional to 3,414.64, 5,122.20 and 1,466.80 is: 2,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.64 : 5,122.20 = 1,466.80 : x
  2. Step 2: Convert to fraction form
    3,414.64/5,122.20 = 1,466.80/x
  3. Step 3: Cross multiply
    3,414.64x = 5,122.20 × 1,466.80
  4. Step 4: Simplify right side
    3,414.64x = 7,513,242.96
  5. Step 5: Solve for x
    x = 7,513,242.96/3,414.64
  6. Step 6: Final answer
    x = 2,200.30

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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.