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Finding the Fourth Proportional to 2,087.54, 2,881.38 and 1,248.82

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Solution

The fourth proportional to 2,087.54, 2,881.38 and 1,248.82 is: 1,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.54 : 2,881.38 = 1,248.82 : x
  2. Step 2: Convert to fraction form
    2,087.54/2,881.38 = 1,248.82/x
  3. Step 3: Cross multiply
    2,087.54x = 2,881.38 × 1,248.82
  4. Step 4: Simplify right side
    2,087.54x = 3,598,324.97
  5. Step 5: Solve for x
    x = 3,598,324.97/2,087.54
  6. Step 6: Final answer
    x = 1,723.72

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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.