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Finding the Fourth Proportional to 2,120.36, 3,177.66 and 963.40

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Solution

The fourth proportional to 2,120.36, 3,177.66 and 963.40 is: 1,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.36 : 3,177.66 = 963.40 : x
  2. Step 2: Convert to fraction form
    2,120.36/3,177.66 = 963.40/x
  3. Step 3: Cross multiply
    2,120.36x = 3,177.66 × 963.40
  4. Step 4: Simplify right side
    2,120.36x = 3,061,357.64
  5. Step 5: Solve for x
    x = 3,061,357.64/2,120.36
  6. Step 6: Final answer
    x = 1,443.79

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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.