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Finding the Fourth Proportional to 2,043.56, 3,065.62 and 656.43

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Solution

The fourth proportional to 2,043.56, 3,065.62 and 656.43 is: 984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.56 : 3,065.62 = 656.43 : x
  2. Step 2: Convert to fraction form
    2,043.56/3,065.62 = 656.43/x
  3. Step 3: Cross multiply
    2,043.56x = 3,065.62 × 656.43
  4. Step 4: Simplify right side
    2,043.56x = 2,012,359.17
  5. Step 5: Solve for x
    x = 2,012,359.17/2,043.56
  6. Step 6: Final answer
    x = 984.73

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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.