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Finding the Fourth Proportional to 1,956.93, 2,935.43 and 724.38

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Solution

The fourth proportional to 1,956.93, 2,935.43 and 724.38 is: 1,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.93 : 2,935.43 = 724.38 : x
  2. Step 2: Convert to fraction form
    1,956.93/2,935.43 = 724.38/x
  3. Step 3: Cross multiply
    1,956.93x = 2,935.43 × 724.38
  4. Step 4: Simplify right side
    1,956.93x = 2,126,363.16
  5. Step 5: Solve for x
    x = 2,126,363.16/1,956.93
  6. Step 6: Final answer
    x = 1,086.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.