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Finding the Fourth Proportional to 2,029.11, 3,042.50 and 795.08

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Solution

The fourth proportional to 2,029.11, 3,042.50 and 795.08 is: 1,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.11 : 3,042.50 = 795.08 : x
  2. Step 2: Convert to fraction form
    2,029.11/3,042.50 = 795.08/x
  3. Step 3: Cross multiply
    2,029.11x = 3,042.50 × 795.08
  4. Step 4: Simplify right side
    2,029.11x = 2,419,019.32
  5. Step 5: Solve for x
    x = 2,419,019.32/2,029.11
  6. Step 6: Final answer
    x = 1,192.16

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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.