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Finding the Fourth Proportional to 2,722.43, 4,082.43 and 1,262

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Solution

The fourth proportional to 2,722.43, 4,082.43 and 1,262 is: 1,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.43 : 4,082.43 = 1,262 : x
  2. Step 2: Convert to fraction form
    2,722.43/4,082.43 = 1,262/x
  3. Step 3: Cross multiply
    2,722.43x = 4,082.43 × 1,262
  4. Step 4: Simplify right side
    2,722.43x = 5,152,026.66
  5. Step 5: Solve for x
    x = 5,152,026.66/2,722.43
  6. Step 6: Final answer
    x = 1,892.44

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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.