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Finding the Fourth Proportional to 2,994.28, 4,133.82 and 2,001.24

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Solution

The fourth proportional to 2,994.28, 4,133.82 and 2,001.24 is: 2,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.28 : 4,133.82 = 2,001.24 : x
  2. Step 2: Convert to fraction form
    2,994.28/4,133.82 = 2,001.24/x
  3. Step 3: Cross multiply
    2,994.28x = 4,133.82 × 2,001.24
  4. Step 4: Simplify right side
    2,994.28x = 8,272,765.94
  5. Step 5: Solve for x
    x = 8,272,765.94/2,994.28
  6. Step 6: Final answer
    x = 2,762.86

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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.