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Finding the Fourth Proportional to 2,188.35, 3,257.79 and 2,175.39

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Solution

The fourth proportional to 2,188.35, 3,257.79 and 2,175.39 is: 3,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.35 : 3,257.79 = 2,175.39 : x
  2. Step 2: Convert to fraction form
    2,188.35/3,257.79 = 2,175.39/x
  3. Step 3: Cross multiply
    2,188.35x = 3,257.79 × 2,175.39
  4. Step 4: Simplify right side
    2,188.35x = 7,086,963.79
  5. Step 5: Solve for x
    x = 7,086,963.79/2,188.35
  6. Step 6: Final answer
    x = 3,238.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.