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Finding the Fourth Proportional to 1,871.42, 2,805.76 and 898.21

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Solution

The fourth proportional to 1,871.42, 2,805.76 and 898.21 is: 1,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.42 : 2,805.76 = 898.21 : x
  2. Step 2: Convert to fraction form
    1,871.42/2,805.76 = 898.21/x
  3. Step 3: Cross multiply
    1,871.42x = 2,805.76 × 898.21
  4. Step 4: Simplify right side
    1,871.42x = 2,520,161.69
  5. Step 5: Solve for x
    x = 2,520,161.69/1,871.42
  6. Step 6: Final answer
    x = 1,346.66

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