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Finding the Fourth Proportional to 2,764.19, 3,814.40 and 1,522.19

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Solution

The fourth proportional to 2,764.19, 3,814.40 and 1,522.19 is: 2,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.19 : 3,814.40 = 1,522.19 : x
  2. Step 2: Convert to fraction form
    2,764.19/3,814.40 = 1,522.19/x
  3. Step 3: Cross multiply
    2,764.19x = 3,814.40 × 1,522.19
  4. Step 4: Simplify right side
    2,764.19x = 5,806,226.27
  5. Step 5: Solve for x
    x = 5,806,226.27/2,764.19
  6. Step 6: Final answer
    x = 2,100.52

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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.