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Finding the Fourth Proportional to 2,682.77, 4,026.76 and 2,534.84

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Solution

The fourth proportional to 2,682.77, 4,026.76 and 2,534.84 is: 3,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.77 : 4,026.76 = 2,534.84 : x
  2. Step 2: Convert to fraction form
    2,682.77/4,026.76 = 2,534.84/x
  3. Step 3: Cross multiply
    2,682.77x = 4,026.76 × 2,534.84
  4. Step 4: Simplify right side
    2,682.77x = 10,207,217.86
  5. Step 5: Solve for x
    x = 10,207,217.86/2,682.77
  6. Step 6: Final answer
    x = 3,804.73

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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.