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Finding the Fourth Proportional to 1,964.26, 2,711.16 and 1,178.14

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Solution

The fourth proportional to 1,964.26, 2,711.16 and 1,178.14 is: 1,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.26 : 2,711.16 = 1,178.14 : x
  2. Step 2: Convert to fraction form
    1,964.26/2,711.16 = 1,178.14/x
  3. Step 3: Cross multiply
    1,964.26x = 2,711.16 × 1,178.14
  4. Step 4: Simplify right side
    1,964.26x = 3,194,126.04
  5. Step 5: Solve for x
    x = 3,194,126.04/1,964.26
  6. Step 6: Final answer
    x = 1,626.12

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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.