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Finding the Fourth Proportional to 1,387.83, 1,916.64 and 1,200.42

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Solution

The fourth proportional to 1,387.83, 1,916.64 and 1,200.42 is: 1,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.83 : 1,916.64 = 1,200.42 : x
  2. Step 2: Convert to fraction form
    1,387.83/1,916.64 = 1,200.42/x
  3. Step 3: Cross multiply
    1,387.83x = 1,916.64 × 1,200.42
  4. Step 4: Simplify right side
    1,387.83x = 2,300,772.99
  5. Step 5: Solve for x
    x = 2,300,772.99/1,387.83
  6. Step 6: Final answer
    x = 1,657.82

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