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Finding the Fourth Proportional to 2,339, 3,227.86 and 1,407.48

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Solution

The fourth proportional to 2,339, 3,227.86 and 1,407.48 is: 1,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339 : 3,227.86 = 1,407.48 : x
  2. Step 2: Convert to fraction form
    2,339/3,227.86 = 1,407.48/x
  3. Step 3: Cross multiply
    2,339x = 3,227.86 × 1,407.48
  4. Step 4: Simplify right side
    2,339x = 4,543,148.39
  5. Step 5: Solve for x
    x = 4,543,148.39/2,339
  6. Step 6: Final answer
    x = 1,942.35

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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.