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Finding the Fourth Proportional to 1,962.32, 2,708.05 and 1,078.15

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Solution

The fourth proportional to 1,962.32, 2,708.05 and 1,078.15 is: 1,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.32 : 2,708.05 = 1,078.15 : x
  2. Step 2: Convert to fraction form
    1,962.32/2,708.05 = 1,078.15/x
  3. Step 3: Cross multiply
    1,962.32x = 2,708.05 × 1,078.15
  4. Step 4: Simplify right side
    1,962.32x = 2,919,671.91
  5. Step 5: Solve for x
    x = 2,919,671.91/1,962.32
  6. Step 6: Final answer
    x = 1,487.87

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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.