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Finding the Fourth Proportional to 2,309.92, 3,462.14 and 1,334

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Solution

The fourth proportional to 2,309.92, 3,462.14 and 1,334 is: 1,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.92 : 3,462.14 = 1,334 : x
  2. Step 2: Convert to fraction form
    2,309.92/3,462.14 = 1,334/x
  3. Step 3: Cross multiply
    2,309.92x = 3,462.14 × 1,334
  4. Step 4: Simplify right side
    2,309.92x = 4,618,494.76
  5. Step 5: Solve for x
    x = 4,618,494.76/2,309.92
  6. Step 6: Final answer
    x = 1,999.42

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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.