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Finding the Fourth Proportional to 3,211.78, 4,817.67 and 1,020.70

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Solution

The fourth proportional to 3,211.78, 4,817.67 and 1,020.70 is: 1,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.78 : 4,817.67 = 1,020.70 : x
  2. Step 2: Convert to fraction form
    3,211.78/4,817.67 = 1,020.70/x
  3. Step 3: Cross multiply
    3,211.78x = 4,817.67 × 1,020.70
  4. Step 4: Simplify right side
    3,211.78x = 4,917,395.77
  5. Step 5: Solve for x
    x = 4,917,395.77/3,211.78
  6. Step 6: Final answer
    x = 1,531.05

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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.