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Finding the Fourth Proportional to 2,878.34, 3,967.86 and 2,036.43

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Solution

The fourth proportional to 2,878.34, 3,967.86 and 2,036.43 is: 2,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.34 : 3,967.86 = 2,036.43 : x
  2. Step 2: Convert to fraction form
    2,878.34/3,967.86 = 2,036.43/x
  3. Step 3: Cross multiply
    2,878.34x = 3,967.86 × 2,036.43
  4. Step 4: Simplify right side
    2,878.34x = 8,080,269.14
  5. Step 5: Solve for x
    x = 8,080,269.14/2,878.34
  6. Step 6: Final answer
    x = 2,807.27

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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.