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Finding the Fourth Proportional to 2,042.63, 3,062.62 and 873.39

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Solution

The fourth proportional to 2,042.63, 3,062.62 and 873.39 is: 1,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.63 : 3,062.62 = 873.39 : x
  2. Step 2: Convert to fraction form
    2,042.63/3,062.62 = 873.39/x
  3. Step 3: Cross multiply
    2,042.63x = 3,062.62 × 873.39
  4. Step 4: Simplify right side
    2,042.63x = 2,674,857.31
  5. Step 5: Solve for x
    x = 2,674,857.31/2,042.63
  6. Step 6: Final answer
    x = 1,309.52

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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.