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Finding the Fourth Proportional to 2,995.65, 4,132.94 and 2,001.56

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Solution

The fourth proportional to 2,995.65, 4,132.94 and 2,001.56 is: 2,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.65 : 4,132.94 = 2,001.56 : x
  2. Step 2: Convert to fraction form
    2,995.65/4,132.94 = 2,001.56/x
  3. Step 3: Cross multiply
    2,995.65x = 4,132.94 × 2,001.56
  4. Step 4: Simplify right side
    2,995.65x = 8,272,296.71
  5. Step 5: Solve for x
    x = 8,272,296.71/2,995.65
  6. Step 6: Final answer
    x = 2,761.44

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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.