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Finding the Fourth Proportional to 3,169.69, 4,748.14 and 1,521.24

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Solution

The fourth proportional to 3,169.69, 4,748.14 and 1,521.24 is: 2,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.69 : 4,748.14 = 1,521.24 : x
  2. Step 2: Convert to fraction form
    3,169.69/4,748.14 = 1,521.24/x
  3. Step 3: Cross multiply
    3,169.69x = 4,748.14 × 1,521.24
  4. Step 4: Simplify right side
    3,169.69x = 7,223,060.49
  5. Step 5: Solve for x
    x = 7,223,060.49/3,169.69
  6. Step 6: Final answer
    x = 2,278.79

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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.