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Finding the Fourth Proportional to 2,088.47, 3,129.66 and 978.23

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Solution

The fourth proportional to 2,088.47, 3,129.66 and 978.23 is: 1,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.47 : 3,129.66 = 978.23 : x
  2. Step 2: Convert to fraction form
    2,088.47/3,129.66 = 978.23/x
  3. Step 3: Cross multiply
    2,088.47x = 3,129.66 × 978.23
  4. Step 4: Simplify right side
    2,088.47x = 3,061,511.65
  5. Step 5: Solve for x
    x = 3,061,511.65/2,088.47
  6. Step 6: Final answer
    x = 1,465.91

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