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Finding the Fourth Proportional to 1,510.22, 2,082.16 and 978.16

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Solution

The fourth proportional to 1,510.22, 2,082.16 and 978.16 is: 1,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.22 : 2,082.16 = 978.16 : x
  2. Step 2: Convert to fraction form
    1,510.22/2,082.16 = 978.16/x
  3. Step 3: Cross multiply
    1,510.22x = 2,082.16 × 978.16
  4. Step 4: Simplify right side
    1,510.22x = 2,036,685.63
  5. Step 5: Solve for x
    x = 2,036,685.63/1,510.22
  6. Step 6: Final answer
    x = 1,348.60

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