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Finding the Fourth Proportional to 2,078.57, 2,868.44 and 1,147.07

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Solution

The fourth proportional to 2,078.57, 2,868.44 and 1,147.07 is: 1,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.57 : 2,868.44 = 1,147.07 : x
  2. Step 2: Convert to fraction form
    2,078.57/2,868.44 = 1,147.07/x
  3. Step 3: Cross multiply
    2,078.57x = 2,868.44 × 1,147.07
  4. Step 4: Simplify right side
    2,078.57x = 3,290,301.47
  5. Step 5: Solve for x
    x = 3,290,301.47/2,078.57
  6. Step 6: Final answer
    x = 1,582.96

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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.