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Finding the Fourth Proportional to 1,677.25, 2,314.88 and 978.49

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Solution

The fourth proportional to 1,677.25, 2,314.88 and 978.49 is: 1,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.25 : 2,314.88 = 978.49 : x
  2. Step 2: Convert to fraction form
    1,677.25/2,314.88 = 978.49/x
  3. Step 3: Cross multiply
    1,677.25x = 2,314.88 × 978.49
  4. Step 4: Simplify right side
    1,677.25x = 2,265,086.93
  5. Step 5: Solve for x
    x = 2,265,086.93/1,677.25
  6. Step 6: Final answer
    x = 1,350.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.