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Finding the Fourth Proportional to 1,962.36, 2,707.89 and 1,078.14

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Solution

The fourth proportional to 1,962.36, 2,707.89 and 1,078.14 is: 1,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.36 : 2,707.89 = 1,078.14 : x
  2. Step 2: Convert to fraction form
    1,962.36/2,707.89 = 1,078.14/x
  3. Step 3: Cross multiply
    1,962.36x = 2,707.89 × 1,078.14
  4. Step 4: Simplify right side
    1,962.36x = 2,919,484.52
  5. Step 5: Solve for x
    x = 2,919,484.52/1,962.36
  6. Step 6: Final answer
    x = 1,487.74

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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.