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Finding the Fourth Proportional to 2,043.24, 3,064.86 and 656.55

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Solution

The fourth proportional to 2,043.24, 3,064.86 and 656.55 is: 984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.24 : 3,064.86 = 656.55 : x
  2. Step 2: Convert to fraction form
    2,043.24/3,064.86 = 656.55/x
  3. Step 3: Cross multiply
    2,043.24x = 3,064.86 × 656.55
  4. Step 4: Simplify right side
    2,043.24x = 2,012,233.83
  5. Step 5: Solve for x
    x = 2,012,233.83/2,043.24
  6. Step 6: Final answer
    x = 984.83

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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.