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Finding the Fourth Proportional to 2,299.88, 3,449.84 and 568.52

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Solution

The fourth proportional to 2,299.88, 3,449.84 and 568.52 is: 852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.88 : 3,449.84 = 568.52 : x
  2. Step 2: Convert to fraction form
    2,299.88/3,449.84 = 568.52/x
  3. Step 3: Cross multiply
    2,299.88x = 3,449.84 × 568.52
  4. Step 4: Simplify right side
    2,299.88x = 1,961,303.04
  5. Step 5: Solve for x
    x = 1,961,303.04/2,299.88
  6. Step 6: Final answer
    x = 852.78

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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.