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Finding the Fourth Proportional to 2,819.62, 3,891.16 and 1,560.84

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Solution

The fourth proportional to 2,819.62, 3,891.16 and 1,560.84 is: 2,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.62 : 3,891.16 = 1,560.84 : x
  2. Step 2: Convert to fraction form
    2,819.62/3,891.16 = 1,560.84/x
  3. Step 3: Cross multiply
    2,819.62x = 3,891.16 × 1,560.84
  4. Step 4: Simplify right side
    2,819.62x = 6,073,478.17
  5. Step 5: Solve for x
    x = 6,073,478.17/2,819.62
  6. Step 6: Final answer
    x = 2,154.01

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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.