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Finding the Fourth Proportional to 4,567, 6,850.52 and 1,831

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Solution

The fourth proportional to 4,567, 6,850.52 and 1,831 is: 2,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567 : 6,850.52 = 1,831 : x
  2. Step 2: Convert to fraction form
    4,567/6,850.52 = 1,831/x
  3. Step 3: Cross multiply
    4,567x = 6,850.52 × 1,831
  4. Step 4: Simplify right side
    4,567x = 12,543,302.12
  5. Step 5: Solve for x
    x = 12,543,302.12/4,567
  6. Step 6: Final answer
    x = 2,746.51

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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.