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Finding the Fourth Proportional to 1,329.78, 1,833.12 and 1,119.18

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Solution

The fourth proportional to 1,329.78, 1,833.12 and 1,119.18 is: 1,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.78 : 1,833.12 = 1,119.18 : x
  2. Step 2: Convert to fraction form
    1,329.78/1,833.12 = 1,119.18/x
  3. Step 3: Cross multiply
    1,329.78x = 1,833.12 × 1,119.18
  4. Step 4: Simplify right side
    1,329.78x = 2,051,591.24
  5. Step 5: Solve for x
    x = 2,051,591.24/1,329.78
  6. Step 6: Final answer
    x = 1,542.81

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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.