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Finding the Fourth Proportional to 1,402.48, 2,099.64 and 1,057.24

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Solution

The fourth proportional to 1,402.48, 2,099.64 and 1,057.24 is: 1,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.48 : 2,099.64 = 1,057.24 : x
  2. Step 2: Convert to fraction form
    1,402.48/2,099.64 = 1,057.24/x
  3. Step 3: Cross multiply
    1,402.48x = 2,099.64 × 1,057.24
  4. Step 4: Simplify right side
    1,402.48x = 2,219,823.39
  5. Step 5: Solve for x
    x = 2,219,823.39/1,402.48
  6. Step 6: Final answer
    x = 1,582.78

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