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Finding the Fourth Proportional to 2,886.44, 3,979.14 and 2,057

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Solution

The fourth proportional to 2,886.44, 3,979.14 and 2,057 is: 2,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.44 : 3,979.14 = 2,057 : x
  2. Step 2: Convert to fraction form
    2,886.44/3,979.14 = 2,057/x
  3. Step 3: Cross multiply
    2,886.44x = 3,979.14 × 2,057
  4. Step 4: Simplify right side
    2,886.44x = 8,185,090.98
  5. Step 5: Solve for x
    x = 8,185,090.98/2,886.44
  6. Step 6: Final answer
    x = 2,835.70

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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.