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Finding the Fourth Proportional to 3,247.80, 4,874.90 and 1,606.20

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Solution

The fourth proportional to 3,247.80, 4,874.90 and 1,606.20 is: 2,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.80 : 4,874.90 = 1,606.20 : x
  2. Step 2: Convert to fraction form
    3,247.80/4,874.90 = 1,606.20/x
  3. Step 3: Cross multiply
    3,247.80x = 4,874.90 × 1,606.20
  4. Step 4: Simplify right side
    3,247.80x = 7,830,064.38
  5. Step 5: Solve for x
    x = 7,830,064.38/3,247.80
  6. Step 6: Final answer
    x = 2,410.88

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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.