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Finding the Fourth Proportional to 2,806.40, 4,206.12 and 1,244.60

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Solution

The fourth proportional to 2,806.40, 4,206.12 and 1,244.60 is: 1,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.40 : 4,206.12 = 1,244.60 : x
  2. Step 2: Convert to fraction form
    2,806.40/4,206.12 = 1,244.60/x
  3. Step 3: Cross multiply
    2,806.40x = 4,206.12 × 1,244.60
  4. Step 4: Simplify right side
    2,806.40x = 5,234,936.95
  5. Step 5: Solve for x
    x = 5,234,936.95/2,806.40
  6. Step 6: Final answer
    x = 1,865.36

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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.