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Finding the Fourth Proportional to 1,859.84, 2,566.50 and 1,020.53

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Solution

The fourth proportional to 1,859.84, 2,566.50 and 1,020.53 is: 1,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.84 : 2,566.50 = 1,020.53 : x
  2. Step 2: Convert to fraction form
    1,859.84/2,566.50 = 1,020.53/x
  3. Step 3: Cross multiply
    1,859.84x = 2,566.50 × 1,020.53
  4. Step 4: Simplify right side
    1,859.84x = 2,619,177.41
  5. Step 5: Solve for x
    x = 2,619,177.41/1,859.84
  6. Step 6: Final answer
    x = 1,408.28

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