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Finding the Fourth Proportional to 1,568.90, 2,350.65 and 827.41

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Solution

The fourth proportional to 1,568.90, 2,350.65 and 827.41 is: 1,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.90 : 2,350.65 = 827.41 : x
  2. Step 2: Convert to fraction form
    1,568.90/2,350.65 = 827.41/x
  3. Step 3: Cross multiply
    1,568.90x = 2,350.65 × 827.41
  4. Step 4: Simplify right side
    1,568.90x = 1,944,951.32
  5. Step 5: Solve for x
    x = 1,944,951.32/1,568.90
  6. Step 6: Final answer
    x = 1,239.69

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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.