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Finding the Fourth Proportional to 1,978.42, 2,968.16 and 591.76

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Solution

The fourth proportional to 1,978.42, 2,968.16 and 591.76 is: 887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.42 : 2,968.16 = 591.76 : x
  2. Step 2: Convert to fraction form
    1,978.42/2,968.16 = 591.76/x
  3. Step 3: Cross multiply
    1,978.42x = 2,968.16 × 591.76
  4. Step 4: Simplify right side
    1,978.42x = 1,756,438.36
  5. Step 5: Solve for x
    x = 1,756,438.36/1,978.42
  6. Step 6: Final answer
    x = 887.80

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