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Finding the Fourth Proportional to 2,078.40, 2,868.15 and 1,194.18

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Solution

The fourth proportional to 2,078.40, 2,868.15 and 1,194.18 is: 1,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.40 : 2,868.15 = 1,194.18 : x
  2. Step 2: Convert to fraction form
    2,078.40/2,868.15 = 1,194.18/x
  3. Step 3: Cross multiply
    2,078.40x = 2,868.15 × 1,194.18
  4. Step 4: Simplify right side
    2,078.40x = 3,425,087.37
  5. Step 5: Solve for x
    x = 3,425,087.37/2,078.40
  6. Step 6: Final answer
    x = 1,647.94

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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.