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Finding the Fourth Proportional to 1,819.16, 2,728.74 and 778.28

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Solution

The fourth proportional to 1,819.16, 2,728.74 and 778.28 is: 1,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.16 : 2,728.74 = 778.28 : x
  2. Step 2: Convert to fraction form
    1,819.16/2,728.74 = 778.28/x
  3. Step 3: Cross multiply
    1,819.16x = 2,728.74 × 778.28
  4. Step 4: Simplify right side
    1,819.16x = 2,123,723.77
  5. Step 5: Solve for x
    x = 2,123,723.77/1,819.16
  6. Step 6: Final answer
    x = 1,167.42

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1.5x scale

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.