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Finding the Fourth Proportional to 2,078.59, 2,868.25 and 1,147.03

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Solution

The fourth proportional to 2,078.59, 2,868.25 and 1,147.03 is: 1,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.59 : 2,868.25 = 1,147.03 : x
  2. Step 2: Convert to fraction form
    2,078.59/2,868.25 = 1,147.03/x
  3. Step 3: Cross multiply
    2,078.59x = 2,868.25 × 1,147.03
  4. Step 4: Simplify right side
    2,078.59x = 3,289,968.80
  5. Step 5: Solve for x
    x = 3,289,968.80/2,078.59
  6. Step 6: Final answer
    x = 1,582.79

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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.