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Finding the Fourth Proportional to 2,347.67, 3,239.78 and 1,285.44

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Solution

The fourth proportional to 2,347.67, 3,239.78 and 1,285.44 is: 1,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.67 : 3,239.78 = 1,285.44 : x
  2. Step 2: Convert to fraction form
    2,347.67/3,239.78 = 1,285.44/x
  3. Step 3: Cross multiply
    2,347.67x = 3,239.78 × 1,285.44
  4. Step 4: Simplify right side
    2,347.67x = 4,164,536.38
  5. Step 5: Solve for x
    x = 4,164,536.38/2,347.67
  6. Step 6: Final answer
    x = 1,773.90

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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.