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Finding the Fourth Proportional to 2,338, 3,226.48 and 1,406.48

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Solution

The fourth proportional to 2,338, 3,226.48 and 1,406.48 is: 1,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338 : 3,226.48 = 1,406.48 : x
  2. Step 2: Convert to fraction form
    2,338/3,226.48 = 1,406.48/x
  3. Step 3: Cross multiply
    2,338x = 3,226.48 × 1,406.48
  4. Step 4: Simplify right side
    2,338x = 4,537,979.59
  5. Step 5: Solve for x
    x = 4,537,979.59/2,338
  6. Step 6: Final answer
    x = 1,940.97

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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.