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Finding the Fourth Proportional to 1,502.56, 2,072.28 and 978.76

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Solution

The fourth proportional to 1,502.56, 2,072.28 and 978.76 is: 1,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.56 : 2,072.28 = 978.76 : x
  2. Step 2: Convert to fraction form
    1,502.56/2,072.28 = 978.76/x
  3. Step 3: Cross multiply
    1,502.56x = 2,072.28 × 978.76
  4. Step 4: Simplify right side
    1,502.56x = 2,028,264.77
  5. Step 5: Solve for x
    x = 2,028,264.77/1,502.56
  6. Step 6: Final answer
    x = 1,349.87

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