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Finding the Fourth Proportional to 1,802.34, 2,697.63 and 978.57

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Solution

The fourth proportional to 1,802.34, 2,697.63 and 978.57 is: 1,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.34 : 2,697.63 = 978.57 : x
  2. Step 2: Convert to fraction form
    1,802.34/2,697.63 = 978.57/x
  3. Step 3: Cross multiply
    1,802.34x = 2,697.63 × 978.57
  4. Step 4: Simplify right side
    1,802.34x = 2,639,819.79
  5. Step 5: Solve for x
    x = 2,639,819.79/1,802.34
  6. Step 6: Final answer
    x = 1,464.66

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