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Finding the Fourth Proportional to 1,444.73, 1,993.07 and 978.17

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Solution

The fourth proportional to 1,444.73, 1,993.07 and 978.17 is: 1,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.73 : 1,993.07 = 978.17 : x
  2. Step 2: Convert to fraction form
    1,444.73/1,993.07 = 978.17/x
  3. Step 3: Cross multiply
    1,444.73x = 1,993.07 × 978.17
  4. Step 4: Simplify right side
    1,444.73x = 1,949,553.76
  5. Step 5: Solve for x
    x = 1,949,553.76/1,444.73
  6. Step 6: Final answer
    x = 1,349.43

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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.