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Finding the Fourth Proportional to 2,867.54, 4,272.48 and 2,678.94

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Solution

The fourth proportional to 2,867.54, 4,272.48 and 2,678.94 is: 3,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.54 : 4,272.48 = 2,678.94 : x
  2. Step 2: Convert to fraction form
    2,867.54/4,272.48 = 2,678.94/x
  3. Step 3: Cross multiply
    2,867.54x = 4,272.48 × 2,678.94
  4. Step 4: Simplify right side
    2,867.54x = 11,445,717.57
  5. Step 5: Solve for x
    x = 11,445,717.57/2,867.54
  6. Step 6: Final answer
    x = 3,991.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.