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Finding the Fourth Proportional to 3,211.02, 4,816.55 and 989.83

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Solution

The fourth proportional to 3,211.02, 4,816.55 and 989.83 is: 1,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.02 : 4,816.55 = 989.83 : x
  2. Step 2: Convert to fraction form
    3,211.02/4,816.55 = 989.83/x
  3. Step 3: Cross multiply
    3,211.02x = 4,816.55 × 989.83
  4. Step 4: Simplify right side
    3,211.02x = 4,767,565.69
  5. Step 5: Solve for x
    x = 4,767,565.69/3,211.02
  6. Step 6: Final answer
    x = 1,484.75

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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.