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Finding the Fourth Proportional to 2,960.30, 4,441.08 and 880.31

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Solution

The fourth proportional to 2,960.30, 4,441.08 and 880.31 is: 1,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.30 : 4,441.08 = 880.31 : x
  2. Step 2: Convert to fraction form
    2,960.30/4,441.08 = 880.31/x
  3. Step 3: Cross multiply
    2,960.30x = 4,441.08 × 880.31
  4. Step 4: Simplify right side
    2,960.30x = 3,909,527.13
  5. Step 5: Solve for x
    x = 3,909,527.13/2,960.30
  6. Step 6: Final answer
    x = 1,320.65

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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.