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Finding the Fourth Proportional to 2,200.74, 3,300.21 and 814.17

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Solution

The fourth proportional to 2,200.74, 3,300.21 and 814.17 is: 1,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.74 : 3,300.21 = 814.17 : x
  2. Step 2: Convert to fraction form
    2,200.74/3,300.21 = 814.17/x
  3. Step 3: Cross multiply
    2,200.74x = 3,300.21 × 814.17
  4. Step 4: Simplify right side
    2,200.74x = 2,686,931.98
  5. Step 5: Solve for x
    x = 2,686,931.98/2,200.74
  6. Step 6: Final answer
    x = 1,220.92

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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.