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Finding the Fourth Proportional to 2,857.87, 4,287.21 and 1,398.25

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Solution

The fourth proportional to 2,857.87, 4,287.21 and 1,398.25 is: 2,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.87 : 4,287.21 = 1,398.25 : x
  2. Step 2: Convert to fraction form
    2,857.87/4,287.21 = 1,398.25/x
  3. Step 3: Cross multiply
    2,857.87x = 4,287.21 × 1,398.25
  4. Step 4: Simplify right side
    2,857.87x = 5,994,591.38
  5. Step 5: Solve for x
    x = 5,994,591.38/2,857.87
  6. Step 6: Final answer
    x = 2,097.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.