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Finding the Fourth Proportional to 1,967.27, 2,714.90 and 1,071.04

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Solution

The fourth proportional to 1,967.27, 2,714.90 and 1,071.04 is: 1,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.27 : 2,714.90 = 1,071.04 : x
  2. Step 2: Convert to fraction form
    1,967.27/2,714.90 = 1,071.04/x
  3. Step 3: Cross multiply
    1,967.27x = 2,714.90 × 1,071.04
  4. Step 4: Simplify right side
    1,967.27x = 2,907,768.55
  5. Step 5: Solve for x
    x = 2,907,768.55/1,967.27
  6. Step 6: Final answer
    x = 1,478.07

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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.