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Finding the Fourth Proportional to 1,677.48, 2,314.68 and 978.72

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Solution

The fourth proportional to 1,677.48, 2,314.68 and 978.72 is: 1,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.48 : 2,314.68 = 978.72 : x
  2. Step 2: Convert to fraction form
    1,677.48/2,314.68 = 978.72/x
  3. Step 3: Cross multiply
    1,677.48x = 2,314.68 × 978.72
  4. Step 4: Simplify right side
    1,677.48x = 2,265,423.61
  5. Step 5: Solve for x
    x = 2,265,423.61/1,677.48
  6. Step 6: Final answer
    x = 1,350.49

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