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Finding the Fourth Proportional to 2,142.72, 3,228 and 2,115.84

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Solution

The fourth proportional to 2,142.72, 3,228 and 2,115.84 is: 3,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.72 : 3,228 = 2,115.84 : x
  2. Step 2: Convert to fraction form
    2,142.72/3,228 = 2,115.84/x
  3. Step 3: Cross multiply
    2,142.72x = 3,228 × 2,115.84
  4. Step 4: Simplify right side
    2,142.72x = 6,829,931.52
  5. Step 5: Solve for x
    x = 6,829,931.52/2,142.72
  6. Step 6: Final answer
    x = 3,187.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.