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Finding the Fourth Proportional to 3,294.92, 4,546.32 and 1,968.14

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Solution

The fourth proportional to 3,294.92, 4,546.32 and 1,968.14 is: 2,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.92 : 4,546.32 = 1,968.14 : x
  2. Step 2: Convert to fraction form
    3,294.92/4,546.32 = 1,968.14/x
  3. Step 3: Cross multiply
    3,294.92x = 4,546.32 × 1,968.14
  4. Step 4: Simplify right side
    3,294.92x = 8,947,794.24
  5. Step 5: Solve for x
    x = 8,947,794.24/3,294.92
  6. Step 6: Final answer
    x = 2,715.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.