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Finding the Fourth Proportional to 1,582.38, 2,368.89 and 1,168.77

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Solution

The fourth proportional to 1,582.38, 2,368.89 and 1,168.77 is: 1,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.38 : 2,368.89 = 1,168.77 : x
  2. Step 2: Convert to fraction form
    1,582.38/2,368.89 = 1,168.77/x
  3. Step 3: Cross multiply
    1,582.38x = 2,368.89 × 1,168.77
  4. Step 4: Simplify right side
    1,582.38x = 2,768,687.57
  5. Step 5: Solve for x
    x = 2,768,687.57/1,582.38
  6. Step 6: Final answer
    x = 1,749.70

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