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Finding the Fourth Proportional to 2,232.48, 3,347.82 and 672

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Solution

The fourth proportional to 2,232.48, 3,347.82 and 672 is: 1,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.48 : 3,347.82 = 672 : x
  2. Step 2: Convert to fraction form
    2,232.48/3,347.82 = 672/x
  3. Step 3: Cross multiply
    2,232.48x = 3,347.82 × 672
  4. Step 4: Simplify right side
    2,232.48x = 2,249,735.04
  5. Step 5: Solve for x
    x = 2,249,735.04/2,232.48
  6. Step 6: Final answer
    x = 1,007.73

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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.