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Finding the Fourth Proportional to 2,207.20, 3,309.98 and 646.80

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Solution

The fourth proportional to 2,207.20, 3,309.98 and 646.80 is: 969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.20 : 3,309.98 = 646.80 : x
  2. Step 2: Convert to fraction form
    2,207.20/3,309.98 = 646.80/x
  3. Step 3: Cross multiply
    2,207.20x = 3,309.98 × 646.80
  4. Step 4: Simplify right side
    2,207.20x = 2,140,901.67
  5. Step 5: Solve for x
    x = 2,140,901.67/2,207.20
  6. Step 6: Final answer
    x = 969.96

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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.