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Finding the Fourth Proportional to 1,425.60, 1,965.82 and 978.13

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Solution

The fourth proportional to 1,425.60, 1,965.82 and 978.13 is: 1,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.60 : 1,965.82 = 978.13 : x
  2. Step 2: Convert to fraction form
    1,425.60/1,965.82 = 978.13/x
  3. Step 3: Cross multiply
    1,425.60x = 1,965.82 × 978.13
  4. Step 4: Simplify right side
    1,425.60x = 1,922,817.31
  5. Step 5: Solve for x
    x = 1,922,817.31/1,425.60
  6. Step 6: Final answer
    x = 1,348.78

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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.