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Finding the Fourth Proportional to 1,600.02, 2,401.02 and 778.32

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Solution

The fourth proportional to 1,600.02, 2,401.02 and 778.32 is: 1,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.02 : 2,401.02 = 778.32 : x
  2. Step 2: Convert to fraction form
    1,600.02/2,401.02 = 778.32/x
  3. Step 3: Cross multiply
    1,600.02x = 2,401.02 × 778.32
  4. Step 4: Simplify right side
    1,600.02x = 1,868,761.89
  5. Step 5: Solve for x
    x = 1,868,761.89/1,600.02
  6. Step 6: Final answer
    x = 1,167.96

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