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Finding the Fourth Proportional to 2,207.70, 3,309.17 and 821.00

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Solution

The fourth proportional to 2,207.70, 3,309.17 and 821.00 is: 1,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.70 : 3,309.17 = 821.00 : x
  2. Step 2: Convert to fraction form
    2,207.70/3,309.17 = 821.00/x
  3. Step 3: Cross multiply
    2,207.70x = 3,309.17 × 821.00
  4. Step 4: Simplify right side
    2,207.70x = 2,716,832.74
  5. Step 5: Solve for x
    x = 2,716,832.74/2,207.70
  6. Step 6: Final answer
    x = 1,230.62

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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.