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Finding the Fourth Proportional to 2,043.31, 3,065.04 and 656.62

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Solution

The fourth proportional to 2,043.31, 3,065.04 and 656.62 is: 984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.31 : 3,065.04 = 656.62 : x
  2. Step 2: Convert to fraction form
    2,043.31/3,065.04 = 656.62/x
  3. Step 3: Cross multiply
    2,043.31x = 3,065.04 × 656.62
  4. Step 4: Simplify right side
    2,043.31x = 2,012,576.14
  5. Step 5: Solve for x
    x = 2,012,576.14/2,043.31
  6. Step 6: Final answer
    x = 984.96

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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.