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Finding the Fourth Proportional to 1,829.72, 2,745.22 and 855.92

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Solution

The fourth proportional to 1,829.72, 2,745.22 and 855.92 is: 1,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.72 : 2,745.22 = 855.92 : x
  2. Step 2: Convert to fraction form
    1,829.72/2,745.22 = 855.92/x
  3. Step 3: Cross multiply
    1,829.72x = 2,745.22 × 855.92
  4. Step 4: Simplify right side
    1,829.72x = 2,349,688.70
  5. Step 5: Solve for x
    x = 2,349,688.70/1,829.72
  6. Step 6: Final answer
    x = 1,284.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.