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Finding the Fourth Proportional to 2,707.86, 3,734.85 and 1,712.18

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Solution

The fourth proportional to 2,707.86, 3,734.85 and 1,712.18 is: 2,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.86 : 3,734.85 = 1,712.18 : x
  2. Step 2: Convert to fraction form
    2,707.86/3,734.85 = 1,712.18/x
  3. Step 3: Cross multiply
    2,707.86x = 3,734.85 × 1,712.18
  4. Step 4: Simplify right side
    2,707.86x = 6,394,735.47
  5. Step 5: Solve for x
    x = 6,394,735.47/2,707.86
  6. Step 6: Final answer
    x = 2,361.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.