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Finding the Fourth Proportional to 3,306.64, 4,560.90 and 2,260.12

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Solution

The fourth proportional to 3,306.64, 4,560.90 and 2,260.12 is: 3,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.64 : 4,560.90 = 2,260.12 : x
  2. Step 2: Convert to fraction form
    3,306.64/4,560.90 = 2,260.12/x
  3. Step 3: Cross multiply
    3,306.64x = 4,560.90 × 2,260.12
  4. Step 4: Simplify right side
    3,306.64x = 10,308,181.31
  5. Step 5: Solve for x
    x = 10,308,181.31/3,306.64
  6. Step 6: Final answer
    x = 3,117.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.