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Finding the Fourth Proportional to 2,058.73, 3,085.80 and 824.43

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Solution

The fourth proportional to 2,058.73, 3,085.80 and 824.43 is: 1,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.73 : 3,085.80 = 824.43 : x
  2. Step 2: Convert to fraction form
    2,058.73/3,085.80 = 824.43/x
  3. Step 3: Cross multiply
    2,058.73x = 3,085.80 × 824.43
  4. Step 4: Simplify right side
    2,058.73x = 2,544,026.09
  5. Step 5: Solve for x
    x = 2,544,026.09/2,058.73
  6. Step 6: Final answer
    x = 1,235.73

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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.