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Finding the Fourth Proportional to 1,530.76, 2,112.92 and 978.76

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Solution

The fourth proportional to 1,530.76, 2,112.92 and 978.76 is: 1,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.76 : 2,112.92 = 978.76 : x
  2. Step 2: Convert to fraction form
    1,530.76/2,112.92 = 978.76/x
  3. Step 3: Cross multiply
    1,530.76x = 2,112.92 × 978.76
  4. Step 4: Simplify right side
    1,530.76x = 2,068,041.58
  5. Step 5: Solve for x
    x = 2,068,041.58/1,530.76
  6. Step 6: Final answer
    x = 1,350.99

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