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Finding the Fourth Proportional to 2,857.32, 3,943.62 and 1,662.47

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Solution

The fourth proportional to 2,857.32, 3,943.62 and 1,662.47 is: 2,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.32 : 3,943.62 = 1,662.47 : x
  2. Step 2: Convert to fraction form
    2,857.32/3,943.62 = 1,662.47/x
  3. Step 3: Cross multiply
    2,857.32x = 3,943.62 × 1,662.47
  4. Step 4: Simplify right side
    2,857.32x = 6,556,130.22
  5. Step 5: Solve for x
    x = 6,556,130.22/2,857.32
  6. Step 6: Final answer
    x = 2,294.50

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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.