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Finding the Fourth Proportional to 3,122.39, 4,310.12 and 1,927.55

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Solution

The fourth proportional to 3,122.39, 4,310.12 and 1,927.55 is: 2,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.39 : 4,310.12 = 1,927.55 : x
  2. Step 2: Convert to fraction form
    3,122.39/4,310.12 = 1,927.55/x
  3. Step 3: Cross multiply
    3,122.39x = 4,310.12 × 1,927.55
  4. Step 4: Simplify right side
    3,122.39x = 8,307,971.81
  5. Step 5: Solve for x
    x = 8,307,971.81/3,122.39
  6. Step 6: Final answer
    x = 2,660.77

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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.