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Finding the Fourth Proportional to 3,211.90, 4,818.24 and 1,019.86

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Solution

The fourth proportional to 3,211.90, 4,818.24 and 1,019.86 is: 1,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.90 : 4,818.24 = 1,019.86 : x
  2. Step 2: Convert to fraction form
    3,211.90/4,818.24 = 1,019.86/x
  3. Step 3: Cross multiply
    3,211.90x = 4,818.24 × 1,019.86
  4. Step 4: Simplify right side
    3,211.90x = 4,913,930.25
  5. Step 5: Solve for x
    x = 4,913,930.25/3,211.90
  6. Step 6: Final answer
    x = 1,529.91

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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.