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Finding the Fourth Proportional to 2,867.84, 4,301.76 and 2,654.72

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Solution

The fourth proportional to 2,867.84, 4,301.76 and 2,654.72 is: 3,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.84 : 4,301.76 = 2,654.72 : x
  2. Step 2: Convert to fraction form
    2,867.84/4,301.76 = 2,654.72/x
  3. Step 3: Cross multiply
    2,867.84x = 4,301.76 × 2,654.72
  4. Step 4: Simplify right side
    2,867.84x = 11,419,968.31
  5. Step 5: Solve for x
    x = 11,419,968.31/2,867.84
  6. Step 6: Final answer
    x = 3,982.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.