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Finding the Fourth Proportional to 2,819.60, 3,891.30 and 1,560.95

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Solution

The fourth proportional to 2,819.60, 3,891.30 and 1,560.95 is: 2,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.60 : 3,891.30 = 1,560.95 : x
  2. Step 2: Convert to fraction form
    2,819.60/3,891.30 = 1,560.95/x
  3. Step 3: Cross multiply
    2,819.60x = 3,891.30 × 1,560.95
  4. Step 4: Simplify right side
    2,819.60x = 6,074,124.74
  5. Step 5: Solve for x
    x = 6,074,124.74/2,819.60
  6. Step 6: Final answer
    x = 2,154.25

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