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Finding the Fourth Proportional to 2,496.66, 3,745.85 and 854.36

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Solution

The fourth proportional to 2,496.66, 3,745.85 and 854.36 is: 1,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.66 : 3,745.85 = 854.36 : x
  2. Step 2: Convert to fraction form
    2,496.66/3,745.85 = 854.36/x
  3. Step 3: Cross multiply
    2,496.66x = 3,745.85 × 854.36
  4. Step 4: Simplify right side
    2,496.66x = 3,200,304.41
  5. Step 5: Solve for x
    x = 3,200,304.41/2,496.66
  6. Step 6: Final answer
    x = 1,281.83

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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.