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Finding the Fourth Proportional to 2,299.56, 3,449.28 and 568.18

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Solution

The fourth proportional to 2,299.56, 3,449.28 and 568.18 is: 852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.56 : 3,449.28 = 568.18 : x
  2. Step 2: Convert to fraction form
    2,299.56/3,449.28 = 568.18/x
  3. Step 3: Cross multiply
    2,299.56x = 3,449.28 × 568.18
  4. Step 4: Simplify right side
    2,299.56x = 1,959,818.35
  5. Step 5: Solve for x
    x = 1,959,818.35/2,299.56
  6. Step 6: Final answer
    x = 852.26

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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.