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Finding the Fourth Proportional to 2,819.67, 3,891.15 and 1,970.16

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Solution

The fourth proportional to 2,819.67, 3,891.15 and 1,970.16 is: 2,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.67 : 3,891.15 = 1,970.16 : x
  2. Step 2: Convert to fraction form
    2,819.67/3,891.15 = 1,970.16/x
  3. Step 3: Cross multiply
    2,819.67x = 3,891.15 × 1,970.16
  4. Step 4: Simplify right side
    2,819.67x = 7,666,188.08
  5. Step 5: Solve for x
    x = 7,666,188.08/2,819.67
  6. Step 6: Final answer
    x = 2,718.82

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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.