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Finding the Fourth Proportional to 2,078.65, 2,868.37 and 1,194.27

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Solution

The fourth proportional to 2,078.65, 2,868.37 and 1,194.27 is: 1,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.65 : 2,868.37 = 1,194.27 : x
  2. Step 2: Convert to fraction form
    2,078.65/2,868.37 = 1,194.27/x
  3. Step 3: Cross multiply
    2,078.65x = 2,868.37 × 1,194.27
  4. Step 4: Simplify right side
    2,078.65x = 3,425,608.24
  5. Step 5: Solve for x
    x = 3,425,608.24/2,078.65
  6. Step 6: Final answer
    x = 1,648.00

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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.