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Finding the Fourth Proportional to 1,964.27, 2,706.32 and 1,264.43

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Solution

The fourth proportional to 1,964.27, 2,706.32 and 1,264.43 is: 1,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.27 : 2,706.32 = 1,264.43 : x
  2. Step 2: Convert to fraction form
    1,964.27/2,706.32 = 1,264.43/x
  3. Step 3: Cross multiply
    1,964.27x = 2,706.32 × 1,264.43
  4. Step 4: Simplify right side
    1,964.27x = 3,421,932.34
  5. Step 5: Solve for x
    x = 3,421,932.34/1,964.27
  6. Step 6: Final answer
    x = 1,742.09

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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.