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Finding the Fourth Proportional to 1,240.45, 1,849.72 and 1,229.32

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Solution

The fourth proportional to 1,240.45, 1,849.72 and 1,229.32 is: 1,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.45 : 1,849.72 = 1,229.32 : x
  2. Step 2: Convert to fraction form
    1,240.45/1,849.72 = 1,229.32/x
  3. Step 3: Cross multiply
    1,240.45x = 1,849.72 × 1,229.32
  4. Step 4: Simplify right side
    1,240.45x = 2,273,897.79
  5. Step 5: Solve for x
    x = 2,273,897.79/1,240.45
  6. Step 6: Final answer
    x = 1,833.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.