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Finding the Fourth Proportional to 3,093.42, 4,269.51 and 1,767

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Solution

The fourth proportional to 3,093.42, 4,269.51 and 1,767 is: 2,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.42 : 4,269.51 = 1,767 : x
  2. Step 2: Convert to fraction form
    3,093.42/4,269.51 = 1,767/x
  3. Step 3: Cross multiply
    3,093.42x = 4,269.51 × 1,767
  4. Step 4: Simplify right side
    3,093.42x = 7,544,224.17
  5. Step 5: Solve for x
    x = 7,544,224.17/3,093.42
  6. Step 6: Final answer
    x = 2,438.80

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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.