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Finding the Fourth Proportional to 2,088.77, 3,131.31 and 791.15

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Solution

The fourth proportional to 2,088.77, 3,131.31 and 791.15 is: 1,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.77 : 3,131.31 = 791.15 : x
  2. Step 2: Convert to fraction form
    2,088.77/3,131.31 = 791.15/x
  3. Step 3: Cross multiply
    2,088.77x = 3,131.31 × 791.15
  4. Step 4: Simplify right side
    2,088.77x = 2,477,335.91
  5. Step 5: Solve for x
    x = 2,477,335.91/2,088.77
  6. Step 6: Final answer
    x = 1,186.03

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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.