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Finding the Fourth Proportional to 1,889.40, 2,834.10 and 1,029.18

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Solution

The fourth proportional to 1,889.40, 2,834.10 and 1,029.18 is: 1,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.40 : 2,834.10 = 1,029.18 : x
  2. Step 2: Convert to fraction form
    1,889.40/2,834.10 = 1,029.18/x
  3. Step 3: Cross multiply
    1,889.40x = 2,834.10 × 1,029.18
  4. Step 4: Simplify right side
    1,889.40x = 2,916,784.55
  5. Step 5: Solve for x
    x = 2,916,784.55/1,889.40
  6. Step 6: Final answer
    x = 1,543.77

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