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Finding the Fourth Proportional to 2,874.12, 3,970.61 and 1,881.78

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Solution

The fourth proportional to 2,874.12, 3,970.61 and 1,881.78 is: 2,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.12 : 3,970.61 = 1,881.78 : x
  2. Step 2: Convert to fraction form
    2,874.12/3,970.61 = 1,881.78/x
  3. Step 3: Cross multiply
    2,874.12x = 3,970.61 × 1,881.78
  4. Step 4: Simplify right side
    2,874.12x = 7,471,814.49
  5. Step 5: Solve for x
    x = 7,471,814.49/2,874.12
  6. Step 6: Final answer
    x = 2,599.69

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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.