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Finding the Fourth Proportional to 1,515.69, 2,272.73 and 693.52

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Solution

The fourth proportional to 1,515.69, 2,272.73 and 693.52 is: 1,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.69 : 2,272.73 = 693.52 : x
  2. Step 2: Convert to fraction form
    1,515.69/2,272.73 = 693.52/x
  3. Step 3: Cross multiply
    1,515.69x = 2,272.73 × 693.52
  4. Step 4: Simplify right side
    1,515.69x = 1,576,174.56
  5. Step 5: Solve for x
    x = 1,576,174.56/1,515.69
  6. Step 6: Final answer
    x = 1,039.91

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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.