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Finding the Fourth Proportional to 2,802.58, 4,207.53 and 1,882.24

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Solution

The fourth proportional to 2,802.58, 4,207.53 and 1,882.24 is: 2,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.58 : 4,207.53 = 1,882.24 : x
  2. Step 2: Convert to fraction form
    2,802.58/4,207.53 = 1,882.24/x
  3. Step 3: Cross multiply
    2,802.58x = 4,207.53 × 1,882.24
  4. Step 4: Simplify right side
    2,802.58x = 7,919,581.27
  5. Step 5: Solve for x
    x = 7,919,581.27/2,802.58
  6. Step 6: Final answer
    x = 2,825.82

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