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Finding the Fourth Proportional to 2,200.77, 3,289.32 and 1,920.90

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Solution

The fourth proportional to 2,200.77, 3,289.32 and 1,920.90 is: 2,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.77 : 3,289.32 = 1,920.90 : x
  2. Step 2: Convert to fraction form
    2,200.77/3,289.32 = 1,920.90/x
  3. Step 3: Cross multiply
    2,200.77x = 3,289.32 × 1,920.90
  4. Step 4: Simplify right side
    2,200.77x = 6,318,454.79
  5. Step 5: Solve for x
    x = 6,318,454.79/2,200.77
  6. Step 6: Final answer
    x = 2,871.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.