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Finding the Fourth Proportional to 2,878.14, 3,972.42 and 1,884.27

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Solution

The fourth proportional to 2,878.14, 3,972.42 and 1,884.27 is: 2,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.14 : 3,972.42 = 1,884.27 : x
  2. Step 2: Convert to fraction form
    2,878.14/3,972.42 = 1,884.27/x
  3. Step 3: Cross multiply
    2,878.14x = 3,972.42 × 1,884.27
  4. Step 4: Simplify right side
    2,878.14x = 7,485,111.83
  5. Step 5: Solve for x
    x = 7,485,111.83/2,878.14
  6. Step 6: Final answer
    x = 2,600.68

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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.