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Finding the Fourth Proportional to 2,095.64, 3,143.46 and 1,000.78

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Solution

The fourth proportional to 2,095.64, 3,143.46 and 1,000.78 is: 1,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.64 : 3,143.46 = 1,000.78 : x
  2. Step 2: Convert to fraction form
    2,095.64/3,143.46 = 1,000.78/x
  3. Step 3: Cross multiply
    2,095.64x = 3,143.46 × 1,000.78
  4. Step 4: Simplify right side
    2,095.64x = 3,145,911.90
  5. Step 5: Solve for x
    x = 3,145,911.90/2,095.64
  6. Step 6: Final answer
    x = 1,501.17

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