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Finding the Fourth Proportional to 1,569.04, 2,164.59 and 978.55

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Solution

The fourth proportional to 1,569.04, 2,164.59 and 978.55 is: 1,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.04 : 2,164.59 = 978.55 : x
  2. Step 2: Convert to fraction form
    1,569.04/2,164.59 = 978.55/x
  3. Step 3: Cross multiply
    1,569.04x = 2,164.59 × 978.55
  4. Step 4: Simplify right side
    1,569.04x = 2,118,154.13
  5. Step 5: Solve for x
    x = 2,118,154.13/1,569.04
  6. Step 6: Final answer
    x = 1,349.97

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