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Finding the Fourth Proportional to 2,078.78, 3,117.20 and 1,104.62

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Solution

The fourth proportional to 2,078.78, 3,117.20 and 1,104.62 is: 1,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.78 : 3,117.20 = 1,104.62 : x
  2. Step 2: Convert to fraction form
    2,078.78/3,117.20 = 1,104.62/x
  3. Step 3: Cross multiply
    2,078.78x = 3,117.20 × 1,104.62
  4. Step 4: Simplify right side
    2,078.78x = 3,443,300.35
  5. Step 5: Solve for x
    x = 3,443,300.35/2,078.78
  6. Step 6: Final answer
    x = 1,656.41

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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.