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Finding the Fourth Proportional to 1,871.59, 2,582.81 and 1,032.33

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Solution

The fourth proportional to 1,871.59, 2,582.81 and 1,032.33 is: 1,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.59 : 2,582.81 = 1,032.33 : x
  2. Step 2: Convert to fraction form
    1,871.59/2,582.81 = 1,032.33/x
  3. Step 3: Cross multiply
    1,871.59x = 2,582.81 × 1,032.33
  4. Step 4: Simplify right side
    1,871.59x = 2,666,308.37
  5. Step 5: Solve for x
    x = 2,666,308.37/1,871.59
  6. Step 6: Final answer
    x = 1,424.62

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