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Finding the Fourth Proportional to 2,221.24, 3,332.70 and 989.80

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Solution

The fourth proportional to 2,221.24, 3,332.70 and 989.80 is: 1,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.24 : 3,332.70 = 989.80 : x
  2. Step 2: Convert to fraction form
    2,221.24/3,332.70 = 989.80/x
  3. Step 3: Cross multiply
    2,221.24x = 3,332.70 × 989.80
  4. Step 4: Simplify right side
    2,221.24x = 3,298,706.46
  5. Step 5: Solve for x
    x = 3,298,706.46/2,221.24
  6. Step 6: Final answer
    x = 1,485.07

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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.