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Finding the Fourth Proportional to 3,211.66, 4,817.42 and 1,480.28

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Solution

The fourth proportional to 3,211.66, 4,817.42 and 1,480.28 is: 2,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.66 : 4,817.42 = 1,480.28 : x
  2. Step 2: Convert to fraction form
    3,211.66/4,817.42 = 1,480.28/x
  3. Step 3: Cross multiply
    3,211.66x = 4,817.42 × 1,480.28
  4. Step 4: Simplify right side
    3,211.66x = 7,131,152.48
  5. Step 5: Solve for x
    x = 7,131,152.48/3,211.66
  6. Step 6: Final answer
    x = 2,220.40

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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.