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Finding the Fourth Proportional to 2,989.78, 4,471.56 and 2,663.02

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Solution

The fourth proportional to 2,989.78, 4,471.56 and 2,663.02 is: 3,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.78 : 4,471.56 = 2,663.02 : x
  2. Step 2: Convert to fraction form
    2,989.78/4,471.56 = 2,663.02/x
  3. Step 3: Cross multiply
    2,989.78x = 4,471.56 × 2,663.02
  4. Step 4: Simplify right side
    2,989.78x = 11,907,853.71
  5. Step 5: Solve for x
    x = 11,907,853.71/2,989.78
  6. Step 6: Final answer
    x = 3,982.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.