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Finding the Fourth Proportional to 2,806.78, 4,206.42 and 2,154.32

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Solution

The fourth proportional to 2,806.78, 4,206.42 and 2,154.32 is: 3,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.78 : 4,206.42 = 2,154.32 : x
  2. Step 2: Convert to fraction form
    2,806.78/4,206.42 = 2,154.32/x
  3. Step 3: Cross multiply
    2,806.78x = 4,206.42 × 2,154.32
  4. Step 4: Simplify right side
    2,806.78x = 9,061,974.73
  5. Step 5: Solve for x
    x = 9,061,974.73/2,806.78
  6. Step 6: Final answer
    x = 3,228.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.