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Finding the Fourth Proportional to 1,264.92, 1,897.35 and 1,057.56

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Solution

The fourth proportional to 1,264.92, 1,897.35 and 1,057.56 is: 1,586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.92 : 1,897.35 = 1,057.56 : x
  2. Step 2: Convert to fraction form
    1,264.92/1,897.35 = 1,057.56/x
  3. Step 3: Cross multiply
    1,264.92x = 1,897.35 × 1,057.56
  4. Step 4: Simplify right side
    1,264.92x = 2,006,561.47
  5. Step 5: Solve for x
    x = 2,006,561.47/1,264.92
  6. Step 6: Final answer
    x = 1,586.31

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