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Finding the Fourth Proportional to 2,814.16, 4,223.48 and 1,582.80

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Solution

The fourth proportional to 2,814.16, 4,223.48 and 1,582.80 is: 2,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.16 : 4,223.48 = 1,582.80 : x
  2. Step 2: Convert to fraction form
    2,814.16/4,223.48 = 1,582.80/x
  3. Step 3: Cross multiply
    2,814.16x = 4,223.48 × 1,582.80
  4. Step 4: Simplify right side
    2,814.16x = 6,684,924.14
  5. Step 5: Solve for x
    x = 6,684,924.14/2,814.16
  6. Step 6: Final answer
    x = 2,375.46

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