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Finding the Fourth Proportional to 1,956.44, 2,934.66 and 801.38

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Solution

The fourth proportional to 1,956.44, 2,934.66 and 801.38 is: 1,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.44 : 2,934.66 = 801.38 : x
  2. Step 2: Convert to fraction form
    1,956.44/2,934.66 = 801.38/x
  3. Step 3: Cross multiply
    1,956.44x = 2,934.66 × 801.38
  4. Step 4: Simplify right side
    1,956.44x = 2,351,763.16
  5. Step 5: Solve for x
    x = 2,351,763.16/1,956.44
  6. Step 6: Final answer
    x = 1,202.07

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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.