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Finding the Fourth Proportional to 2,551.73, 3,522.68 and 1,764.41

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Solution

The fourth proportional to 2,551.73, 3,522.68 and 1,764.41 is: 2,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.73 : 3,522.68 = 1,764.41 : x
  2. Step 2: Convert to fraction form
    2,551.73/3,522.68 = 1,764.41/x
  3. Step 3: Cross multiply
    2,551.73x = 3,522.68 × 1,764.41
  4. Step 4: Simplify right side
    2,551.73x = 6,215,425.38
  5. Step 5: Solve for x
    x = 6,215,425.38/2,551.73
  6. Step 6: Final answer
    x = 2,435.77

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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.