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Finding the Fourth Proportional to 1,439.97, 1,987.11 and 968.82

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Solution

The fourth proportional to 1,439.97, 1,987.11 and 968.82 is: 1,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.97 : 1,987.11 = 968.82 : x
  2. Step 2: Convert to fraction form
    1,439.97/1,987.11 = 968.82/x
  3. Step 3: Cross multiply
    1,439.97x = 1,987.11 × 968.82
  4. Step 4: Simplify right side
    1,439.97x = 1,925,151.91
  5. Step 5: Solve for x
    x = 1,925,151.91/1,439.97
  6. Step 6: Final answer
    x = 1,336.94

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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.