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Finding the Fourth Proportional to 2,857.25, 3,943.64 and 1,678.70

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Solution

The fourth proportional to 2,857.25, 3,943.64 and 1,678.70 is: 2,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.25 : 3,943.64 = 1,678.70 : x
  2. Step 2: Convert to fraction form
    2,857.25/3,943.64 = 1,678.70/x
  3. Step 3: Cross multiply
    2,857.25x = 3,943.64 × 1,678.70
  4. Step 4: Simplify right side
    2,857.25x = 6,620,188.47
  5. Step 5: Solve for x
    x = 6,620,188.47/2,857.25
  6. Step 6: Final answer
    x = 2,316.98

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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.