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Finding the Fourth Proportional to 1,515.23, 2,272.85 and 693.28

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Solution

The fourth proportional to 1,515.23, 2,272.85 and 693.28 is: 1,039.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.23 : 2,272.85 = 693.28 : x
  2. Step 2: Convert to fraction form
    1,515.23/2,272.85 = 693.28/x
  3. Step 3: Cross multiply
    1,515.23x = 2,272.85 × 693.28
  4. Step 4: Simplify right side
    1,515.23x = 1,575,720.82
  5. Step 5: Solve for x
    x = 1,575,720.82/1,515.23
  6. Step 6: Final answer
    x = 1,039.92

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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.