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Finding the Fourth Proportional to 1,516.74, 2,272.96 and 693.57

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Solution

The fourth proportional to 1,516.74, 2,272.96 and 693.57 is: 1,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.74 : 2,272.96 = 693.57 : x
  2. Step 2: Convert to fraction form
    1,516.74/2,272.96 = 693.57/x
  3. Step 3: Cross multiply
    1,516.74x = 2,272.96 × 693.57
  4. Step 4: Simplify right side
    1,516.74x = 1,576,456.87
  5. Step 5: Solve for x
    x = 1,576,456.87/1,516.74
  6. Step 6: Final answer
    x = 1,039.37

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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.