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Finding the Fourth Proportional to 1,582.47, 2,375.38 and 1,293.30

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Solution

The fourth proportional to 1,582.47, 2,375.38 and 1,293.30 is: 1,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.47 : 2,375.38 = 1,293.30 : x
  2. Step 2: Convert to fraction form
    1,582.47/2,375.38 = 1,293.30/x
  3. Step 3: Cross multiply
    1,582.47x = 2,375.38 × 1,293.30
  4. Step 4: Simplify right side
    1,582.47x = 3,072,073.30
  5. Step 5: Solve for x
    x = 3,072,073.30/1,582.47
  6. Step 6: Final answer
    x = 1,941.32

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