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Finding the Fourth Proportional to 2,874.86, 3,968.43 and 2,036.78

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Solution

The fourth proportional to 2,874.86, 3,968.43 and 2,036.78 is: 2,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.86 : 3,968.43 = 2,036.78 : x
  2. Step 2: Convert to fraction form
    2,874.86/3,968.43 = 2,036.78/x
  3. Step 3: Cross multiply
    2,874.86x = 3,968.43 × 2,036.78
  4. Step 4: Simplify right side
    2,874.86x = 8,082,818.86
  5. Step 5: Solve for x
    x = 8,082,818.86/2,874.86
  6. Step 6: Final answer
    x = 2,811.55

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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.