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Finding the Fourth Proportional to 2,888.38, 3,985.66 and 2,132.56

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Solution

The fourth proportional to 2,888.38, 3,985.66 and 2,132.56 is: 2,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.38 : 3,985.66 = 2,132.56 : x
  2. Step 2: Convert to fraction form
    2,888.38/3,985.66 = 2,132.56/x
  3. Step 3: Cross multiply
    2,888.38x = 3,985.66 × 2,132.56
  4. Step 4: Simplify right side
    2,888.38x = 8,499,638.46
  5. Step 5: Solve for x
    x = 8,499,638.46/2,888.38
  6. Step 6: Final answer
    x = 2,942.71

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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.