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Finding the Fourth Proportional to 1,956.71, 2,934.11 and 968.39

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Solution

The fourth proportional to 1,956.71, 2,934.11 and 968.39 is: 1,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.71 : 2,934.11 = 968.39 : x
  2. Step 2: Convert to fraction form
    1,956.71/2,934.11 = 968.39/x
  3. Step 3: Cross multiply
    1,956.71x = 2,934.11 × 968.39
  4. Step 4: Simplify right side
    1,956.71x = 2,841,343.27
  5. Step 5: Solve for x
    x = 2,841,343.27/1,956.71
  6. Step 6: Final answer
    x = 1,452.10

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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.