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Finding the Fourth Proportional to 2,042.19, 3,062.93 and 872.85

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Solution

The fourth proportional to 2,042.19, 3,062.93 and 872.85 is: 1,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.19 : 3,062.93 = 872.85 : x
  2. Step 2: Convert to fraction form
    2,042.19/3,062.93 = 872.85/x
  3. Step 3: Cross multiply
    2,042.19x = 3,062.93 × 872.85
  4. Step 4: Simplify right side
    2,042.19x = 2,673,483.93
  5. Step 5: Solve for x
    x = 2,673,483.93/2,042.19
  6. Step 6: Final answer
    x = 1,309.13

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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.