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Finding the Fourth Proportional to 2,078.14, 3,116.15 and 617.11

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Solution

The fourth proportional to 2,078.14, 3,116.15 and 617.11 is: 925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.14 : 3,116.15 = 617.11 : x
  2. Step 2: Convert to fraction form
    2,078.14/3,116.15 = 617.11/x
  3. Step 3: Cross multiply
    2,078.14x = 3,116.15 × 617.11
  4. Step 4: Simplify right side
    2,078.14x = 1,923,007.33
  5. Step 5: Solve for x
    x = 1,923,007.33/2,078.14
  6. Step 6: Final answer
    x = 925.35

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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.