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Finding the Fourth Proportional to 2,588.78, 3,881.97 and 833.46

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Solution

The fourth proportional to 2,588.78, 3,881.97 and 833.46 is: 1,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.78 : 3,881.97 = 833.46 : x
  2. Step 2: Convert to fraction form
    2,588.78/3,881.97 = 833.46/x
  3. Step 3: Cross multiply
    2,588.78x = 3,881.97 × 833.46
  4. Step 4: Simplify right side
    2,588.78x = 3,235,466.72
  5. Step 5: Solve for x
    x = 3,235,466.72/2,588.78
  6. Step 6: Final answer
    x = 1,249.81

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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.