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Finding the Fourth Proportional to 3,064.90, 4,230.45 and 2,002.83

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Solution

The fourth proportional to 3,064.90, 4,230.45 and 2,002.83 is: 2,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.90 : 4,230.45 = 2,002.83 : x
  2. Step 2: Convert to fraction form
    3,064.90/4,230.45 = 2,002.83/x
  3. Step 3: Cross multiply
    3,064.90x = 4,230.45 × 2,002.83
  4. Step 4: Simplify right side
    3,064.90x = 8,472,851.02
  5. Step 5: Solve for x
    x = 8,472,851.02/3,064.90
  6. Step 6: Final answer
    x = 2,764.48

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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.