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Finding the Fourth Proportional to 3,002.92, 4,143.53 and 2,760.98

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Solution

The fourth proportional to 3,002.92, 4,143.53 and 2,760.98 is: 3,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.92 : 4,143.53 = 2,760.98 : x
  2. Step 2: Convert to fraction form
    3,002.92/4,143.53 = 2,760.98/x
  3. Step 3: Cross multiply
    3,002.92x = 4,143.53 × 2,760.98
  4. Step 4: Simplify right side
    3,002.92x = 11,440,203.46
  5. Step 5: Solve for x
    x = 11,440,203.46/3,002.92
  6. Step 6: Final answer
    x = 3,809.69

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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.