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Finding the Fourth Proportional to 1,319.68, 1,977.70 and 1,123.66

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Solution

The fourth proportional to 1,319.68, 1,977.70 and 1,123.66 is: 1,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.68 : 1,977.70 = 1,123.66 : x
  2. Step 2: Convert to fraction form
    1,319.68/1,977.70 = 1,123.66/x
  3. Step 3: Cross multiply
    1,319.68x = 1,977.70 × 1,123.66
  4. Step 4: Simplify right side
    1,319.68x = 2,222,262.38
  5. Step 5: Solve for x
    x = 2,222,262.38/1,319.68
  6. Step 6: Final answer
    x = 1,683.94

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