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Finding the Fourth Proportional to 2,043.82, 3,064.84 and 656.69

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Solution

The fourth proportional to 2,043.82, 3,064.84 and 656.69 is: 984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.82 : 3,064.84 = 656.69 : x
  2. Step 2: Convert to fraction form
    2,043.82/3,064.84 = 656.69/x
  3. Step 3: Cross multiply
    2,043.82x = 3,064.84 × 656.69
  4. Step 4: Simplify right side
    2,043.82x = 2,012,655.80
  5. Step 5: Solve for x
    x = 2,012,655.80/2,043.82
  6. Step 6: Final answer
    x = 984.75

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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.