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Finding the Fourth Proportional to 1,871.78, 2,582.87 and 1,032.53

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Solution

The fourth proportional to 1,871.78, 2,582.87 and 1,032.53 is: 1,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.78 : 2,582.87 = 1,032.53 : x
  2. Step 2: Convert to fraction form
    1,871.78/2,582.87 = 1,032.53/x
  3. Step 3: Cross multiply
    1,871.78x = 2,582.87 × 1,032.53
  4. Step 4: Simplify right side
    1,871.78x = 2,666,872.68
  5. Step 5: Solve for x
    x = 2,666,872.68/1,871.78
  6. Step 6: Final answer
    x = 1,424.78

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