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Finding the Fourth Proportional to 4,113.17, 6,169.89 and 1,480.88

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Solution

The fourth proportional to 4,113.17, 6,169.89 and 1,480.88 is: 2,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.17 : 6,169.89 = 1,480.88 : x
  2. Step 2: Convert to fraction form
    4,113.17/6,169.89 = 1,480.88/x
  3. Step 3: Cross multiply
    4,113.17x = 6,169.89 × 1,480.88
  4. Step 4: Simplify right side
    4,113.17x = 9,136,835.85
  5. Step 5: Solve for x
    x = 9,136,835.85/4,113.17
  6. Step 6: Final answer
    x = 2,221.36

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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.