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Finding the Fourth Proportional to 2,200.28, 3,300.40 and 661.28

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Solution

The fourth proportional to 2,200.28, 3,300.40 and 661.28 is: 991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.28 : 3,300.40 = 661.28 : x
  2. Step 2: Convert to fraction form
    2,200.28/3,300.40 = 661.28/x
  3. Step 3: Cross multiply
    2,200.28x = 3,300.40 × 661.28
  4. Step 4: Simplify right side
    2,200.28x = 2,182,470.36
  5. Step 5: Solve for x
    x = 2,182,470.36/2,200.28
  6. Step 6: Final answer
    x = 991.91

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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.