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Finding the Fourth Proportional to 2,996.65, 4,134.31 and 2,002.56

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Solution

The fourth proportional to 2,996.65, 4,134.31 and 2,002.56 is: 2,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.65 : 4,134.31 = 2,002.56 : x
  2. Step 2: Convert to fraction form
    2,996.65/4,134.31 = 2,002.56/x
  3. Step 3: Cross multiply
    2,996.65x = 4,134.31 × 2,002.56
  4. Step 4: Simplify right side
    2,996.65x = 8,279,203.83
  5. Step 5: Solve for x
    x = 8,279,203.83/2,996.65
  6. Step 6: Final answer
    x = 2,762.82

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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.