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Finding the Fourth Proportional to 2,960.37, 4,438.96 and 880.08

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Solution

The fourth proportional to 2,960.37, 4,438.96 and 880.08 is: 1,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.37 : 4,438.96 = 880.08 : x
  2. Step 2: Convert to fraction form
    2,960.37/4,438.96 = 880.08/x
  3. Step 3: Cross multiply
    2,960.37x = 4,438.96 × 880.08
  4. Step 4: Simplify right side
    2,960.37x = 3,906,639.92
  5. Step 5: Solve for x
    x = 3,906,639.92/2,960.37
  6. Step 6: Final answer
    x = 1,319.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.