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Finding the Fourth Proportional to 3,211.66, 4,816.76 and 1,019.98

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Solution

The fourth proportional to 3,211.66, 4,816.76 and 1,019.98 is: 1,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.66 : 4,816.76 = 1,019.98 : x
  2. Step 2: Convert to fraction form
    3,211.66/4,816.76 = 1,019.98/x
  3. Step 3: Cross multiply
    3,211.66x = 4,816.76 × 1,019.98
  4. Step 4: Simplify right side
    3,211.66x = 4,912,998.86
  5. Step 5: Solve for x
    x = 4,912,998.86/3,211.66
  6. Step 6: Final answer
    x = 1,529.74

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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.