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Finding the Fourth Proportional to 3,064.02, 4,606.30 and 2,454.42

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Solution

The fourth proportional to 3,064.02, 4,606.30 and 2,454.42 is: 3,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.02 : 4,606.30 = 2,454.42 : x
  2. Step 2: Convert to fraction form
    3,064.02/4,606.30 = 2,454.42/x
  3. Step 3: Cross multiply
    3,064.02x = 4,606.30 × 2,454.42
  4. Step 4: Simplify right side
    3,064.02x = 11,305,794.85
  5. Step 5: Solve for x
    x = 11,305,794.85/3,064.02
  6. Step 6: Final answer
    x = 3,689.86

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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.