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Finding the Fourth Proportional to 3,093.74, 4,641.42 and 1,362.77

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Solution

The fourth proportional to 3,093.74, 4,641.42 and 1,362.77 is: 2,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.74 : 4,641.42 = 1,362.77 : x
  2. Step 2: Convert to fraction form
    3,093.74/4,641.42 = 1,362.77/x
  3. Step 3: Cross multiply
    3,093.74x = 4,641.42 × 1,362.77
  4. Step 4: Simplify right side
    3,093.74x = 6,325,164.73
  5. Step 5: Solve for x
    x = 6,325,164.73/3,093.74
  6. Step 6: Final answer
    x = 2,044.51

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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.