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Finding the Fourth Proportional to 1,582.81, 2,181.19 and 1,139.87

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Solution

The fourth proportional to 1,582.81, 2,181.19 and 1,139.87 is: 1,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.81 : 2,181.19 = 1,139.87 : x
  2. Step 2: Convert to fraction form
    1,582.81/2,181.19 = 1,139.87/x
  3. Step 3: Cross multiply
    1,582.81x = 2,181.19 × 1,139.87
  4. Step 4: Simplify right side
    1,582.81x = 2,486,267.35
  5. Step 5: Solve for x
    x = 2,486,267.35/1,582.81
  6. Step 6: Final answer
    x = 1,570.80

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