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Finding the Fourth Proportional to 1,962.44, 2,708.10 and 1,078.19

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Solution

The fourth proportional to 1,962.44, 2,708.10 and 1,078.19 is: 1,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.44 : 2,708.10 = 1,078.19 : x
  2. Step 2: Convert to fraction form
    1,962.44/2,708.10 = 1,078.19/x
  3. Step 3: Cross multiply
    1,962.44x = 2,708.10 × 1,078.19
  4. Step 4: Simplify right side
    1,962.44x = 2,919,832.80
  5. Step 5: Solve for x
    x = 2,919,832.80/1,962.44
  6. Step 6: Final answer
    x = 1,487.86

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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.