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Finding the Fourth Proportional to 1,792.82, 2,472.86 and 1,232.30

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Solution

The fourth proportional to 1,792.82, 2,472.86 and 1,232.30 is: 1,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.82 : 2,472.86 = 1,232.30 : x
  2. Step 2: Convert to fraction form
    1,792.82/2,472.86 = 1,232.30/x
  3. Step 3: Cross multiply
    1,792.82x = 2,472.86 × 1,232.30
  4. Step 4: Simplify right side
    1,792.82x = 3,047,305.38
  5. Step 5: Solve for x
    x = 3,047,305.38/1,792.82
  6. Step 6: Final answer
    x = 1,699.73

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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.