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Finding the Fourth Proportional to 1,847.67, 2,771.52 and 531.46

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Solution

The fourth proportional to 1,847.67, 2,771.52 and 531.46 is: 797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.67 : 2,771.52 = 531.46 : x
  2. Step 2: Convert to fraction form
    1,847.67/2,771.52 = 531.46/x
  3. Step 3: Cross multiply
    1,847.67x = 2,771.52 × 531.46
  4. Step 4: Simplify right side
    1,847.67x = 1,472,952.02
  5. Step 5: Solve for x
    x = 1,472,952.02/1,847.67
  6. Step 6: Final answer
    x = 797.19

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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.