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Finding the Fourth Proportional to 1,678.17, 2,516.72 and 1,568.97

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Solution

The fourth proportional to 1,678.17, 2,516.72 and 1,568.97 is: 2,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.17 : 2,516.72 = 1,568.97 : x
  2. Step 2: Convert to fraction form
    1,678.17/2,516.72 = 1,568.97/x
  3. Step 3: Cross multiply
    1,678.17x = 2,516.72 × 1,568.97
  4. Step 4: Simplify right side
    1,678.17x = 3,948,650.33
  5. Step 5: Solve for x
    x = 3,948,650.33/1,678.17
  6. Step 6: Final answer
    x = 2,352.95

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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.