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Finding the Fourth Proportional to 3,131.58, 4,698.81 and 1,593.66

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Solution

The fourth proportional to 3,131.58, 4,698.81 and 1,593.66 is: 2,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.58 : 4,698.81 = 1,593.66 : x
  2. Step 2: Convert to fraction form
    3,131.58/4,698.81 = 1,593.66/x
  3. Step 3: Cross multiply
    3,131.58x = 4,698.81 × 1,593.66
  4. Step 4: Simplify right side
    3,131.58x = 7,488,305.54
  5. Step 5: Solve for x
    x = 7,488,305.54/3,131.58
  6. Step 6: Final answer
    x = 2,391.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.