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Finding the Fourth Proportional to 1,283.16, 1,926.08 and 1,137.84

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Solution

The fourth proportional to 1,283.16, 1,926.08 and 1,137.84 is: 1,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.16 : 1,926.08 = 1,137.84 : x
  2. Step 2: Convert to fraction form
    1,283.16/1,926.08 = 1,137.84/x
  3. Step 3: Cross multiply
    1,283.16x = 1,926.08 × 1,137.84
  4. Step 4: Simplify right side
    1,283.16x = 2,191,570.87
  5. Step 5: Solve for x
    x = 2,191,570.87/1,283.16
  6. Step 6: Final answer
    x = 1,707.95

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