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Finding the Fourth Proportional to 2,078.62, 2,868.78 and 1,194.40

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Solution

The fourth proportional to 2,078.62, 2,868.78 and 1,194.40 is: 1,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.62 : 2,868.78 = 1,194.40 : x
  2. Step 2: Convert to fraction form
    2,078.62/2,868.78 = 1,194.40/x
  3. Step 3: Cross multiply
    2,078.62x = 2,868.78 × 1,194.40
  4. Step 4: Simplify right side
    2,078.62x = 3,426,474.42
  5. Step 5: Solve for x
    x = 3,426,474.42/2,078.62
  6. Step 6: Final answer
    x = 1,648.44

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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.