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Finding the Fourth Proportional to 1,975.84, 2,962.80 and 588.82

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Solution

The fourth proportional to 1,975.84, 2,962.80 and 588.82 is: 882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.84 : 2,962.80 = 588.82 : x
  2. Step 2: Convert to fraction form
    1,975.84/2,962.80 = 588.82/x
  3. Step 3: Cross multiply
    1,975.84x = 2,962.80 × 588.82
  4. Step 4: Simplify right side
    1,975.84x = 1,744,555.90
  5. Step 5: Solve for x
    x = 1,744,555.90/1,975.84
  6. Step 6: Final answer
    x = 882.94

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