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Finding the Fourth Proportional to 2,091.79, 3,135.84 and 1,351.84

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Solution

The fourth proportional to 2,091.79, 3,135.84 and 1,351.84 is: 2,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.79 : 3,135.84 = 1,351.84 : x
  2. Step 2: Convert to fraction form
    2,091.79/3,135.84 = 1,351.84/x
  3. Step 3: Cross multiply
    2,091.79x = 3,135.84 × 1,351.84
  4. Step 4: Simplify right side
    2,091.79x = 4,239,153.95
  5. Step 5: Solve for x
    x = 4,239,153.95/2,091.79
  6. Step 6: Final answer
    x = 2,026.57

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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.