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Finding the Fourth Proportional to 2,734.86, 3,774.27 and 2,070.66

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Solution

The fourth proportional to 2,734.86, 3,774.27 and 2,070.66 is: 2,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.86 : 3,774.27 = 2,070.66 : x
  2. Step 2: Convert to fraction form
    2,734.86/3,774.27 = 2,070.66/x
  3. Step 3: Cross multiply
    2,734.86x = 3,774.27 × 2,070.66
  4. Step 4: Simplify right side
    2,734.86x = 7,815,229.92
  5. Step 5: Solve for x
    x = 7,815,229.92/2,734.86
  6. Step 6: Final answer
    x = 2,857.63

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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.