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Finding the Fourth Proportional to 1,685.88, 2,527.88 and 589.82

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Solution

The fourth proportional to 1,685.88, 2,527.88 and 589.82 is: 884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.88 : 2,527.88 = 589.82 : x
  2. Step 2: Convert to fraction form
    1,685.88/2,527.88 = 589.82/x
  3. Step 3: Cross multiply
    1,685.88x = 2,527.88 × 589.82
  4. Step 4: Simplify right side
    1,685.88x = 1,490,978.59
  5. Step 5: Solve for x
    x = 1,490,978.59/1,685.88
  6. Step 6: Final answer
    x = 884.39

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