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Finding the Fourth Proportional to 2,874.36, 3,967.74 and 2,036.28

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Solution

The fourth proportional to 2,874.36, 3,967.74 and 2,036.28 is: 2,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.36 : 3,967.74 = 2,036.28 : x
  2. Step 2: Convert to fraction form
    2,874.36/3,967.74 = 2,036.28/x
  3. Step 3: Cross multiply
    2,874.36x = 3,967.74 × 2,036.28
  4. Step 4: Simplify right side
    2,874.36x = 8,079,429.61
  5. Step 5: Solve for x
    x = 8,079,429.61/2,874.36
  6. Step 6: Final answer
    x = 2,810.86

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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.