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Finding the Fourth Proportional to 2,745.68, 3,788.52 and 1,698

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Solution

The fourth proportional to 2,745.68, 3,788.52 and 1,698 is: 2,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.68 : 3,788.52 = 1,698 : x
  2. Step 2: Convert to fraction form
    2,745.68/3,788.52 = 1,698/x
  3. Step 3: Cross multiply
    2,745.68x = 3,788.52 × 1,698
  4. Step 4: Simplify right side
    2,745.68x = 6,432,906.96
  5. Step 5: Solve for x
    x = 6,432,906.96/2,745.68
  6. Step 6: Final answer
    x = 2,342.92

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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.