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Finding the Fourth Proportional to 2,032.90, 3,049.23 and 1,253.05

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Solution

The fourth proportional to 2,032.90, 3,049.23 and 1,253.05 is: 1,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.90 : 3,049.23 = 1,253.05 : x
  2. Step 2: Convert to fraction form
    2,032.90/3,049.23 = 1,253.05/x
  3. Step 3: Cross multiply
    2,032.90x = 3,049.23 × 1,253.05
  4. Step 4: Simplify right side
    2,032.90x = 3,820,837.65
  5. Step 5: Solve for x
    x = 3,820,837.65/2,032.90
  6. Step 6: Final answer
    x = 1,879.50

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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.