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Finding the Fourth Proportional to 2,347.28, 3,239.24 and 1,299.34

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Solution

The fourth proportional to 2,347.28, 3,239.24 and 1,299.34 is: 1,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.28 : 3,239.24 = 1,299.34 : x
  2. Step 2: Convert to fraction form
    2,347.28/3,239.24 = 1,299.34/x
  3. Step 3: Cross multiply
    2,347.28x = 3,239.24 × 1,299.34
  4. Step 4: Simplify right side
    2,347.28x = 4,208,878.96
  5. Step 5: Solve for x
    x = 4,208,878.96/2,347.28
  6. Step 6: Final answer
    x = 1,793.09

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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.