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Finding the Fourth Proportional to 2,764.06, 3,814.23 and 1,522.06

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Solution

The fourth proportional to 2,764.06, 3,814.23 and 1,522.06 is: 2,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.06 : 3,814.23 = 1,522.06 : x
  2. Step 2: Convert to fraction form
    2,764.06/3,814.23 = 1,522.06/x
  3. Step 3: Cross multiply
    2,764.06x = 3,814.23 × 1,522.06
  4. Step 4: Simplify right side
    2,764.06x = 5,805,486.91
  5. Step 5: Solve for x
    x = 5,805,486.91/2,764.06
  6. Step 6: Final answer
    x = 2,100.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.