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Finding the Fourth Proportional to 2,078.78, 2,868.75 and 1,147.22

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Solution

The fourth proportional to 2,078.78, 2,868.75 and 1,147.22 is: 1,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.78 : 2,868.75 = 1,147.22 : x
  2. Step 2: Convert to fraction form
    2,078.78/2,868.75 = 1,147.22/x
  3. Step 3: Cross multiply
    2,078.78x = 2,868.75 × 1,147.22
  4. Step 4: Simplify right side
    2,078.78x = 3,291,087.38
  5. Step 5: Solve for x
    x = 3,291,087.38/2,078.78
  6. Step 6: Final answer
    x = 1,583.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.