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Finding the Fourth Proportional to 1,329.41, 1,833.44 and 1,107.88

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Solution

The fourth proportional to 1,329.41, 1,833.44 and 1,107.88 is: 1,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.41 : 1,833.44 = 1,107.88 : x
  2. Step 2: Convert to fraction form
    1,329.41/1,833.44 = 1,107.88/x
  3. Step 3: Cross multiply
    1,329.41x = 1,833.44 × 1,107.88
  4. Step 4: Simplify right side
    1,329.41x = 2,031,221.38
  5. Step 5: Solve for x
    x = 2,031,221.38/1,329.41
  6. Step 6: Final answer
    x = 1,527.91

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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.