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Finding the Fourth Proportional to 2,078.22, 3,118.14 and 617.39

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Solution

The fourth proportional to 2,078.22, 3,118.14 and 617.39 is: 926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.22 : 3,118.14 = 617.39 : x
  2. Step 2: Convert to fraction form
    2,078.22/3,118.14 = 617.39/x
  3. Step 3: Cross multiply
    2,078.22x = 3,118.14 × 617.39
  4. Step 4: Simplify right side
    2,078.22x = 1,925,092.86
  5. Step 5: Solve for x
    x = 1,925,092.86/2,078.22
  6. Step 6: Final answer
    x = 926.32

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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.