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Finding the Fourth Proportional to 2,837.70, 4,256.64 and 2,424.24

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Solution

The fourth proportional to 2,837.70, 4,256.64 and 2,424.24 is: 3,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.70 : 4,256.64 = 2,424.24 : x
  2. Step 2: Convert to fraction form
    2,837.70/4,256.64 = 2,424.24/x
  3. Step 3: Cross multiply
    2,837.70x = 4,256.64 × 2,424.24
  4. Step 4: Simplify right side
    2,837.70x = 10,319,116.95
  5. Step 5: Solve for x
    x = 10,319,116.95/2,837.70
  6. Step 6: Final answer
    x = 3,636.44

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