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Finding the Fourth Proportional to 1,792.55, 2,471.43 and 1,472.34

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Solution

The fourth proportional to 1,792.55, 2,471.43 and 1,472.34 is: 2,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.55 : 2,471.43 = 1,472.34 : x
  2. Step 2: Convert to fraction form
    1,792.55/2,471.43 = 1,472.34/x
  3. Step 3: Cross multiply
    1,792.55x = 2,471.43 × 1,472.34
  4. Step 4: Simplify right side
    1,792.55x = 3,638,791.75
  5. Step 5: Solve for x
    x = 3,638,791.75/1,792.55
  6. Step 6: Final answer
    x = 2,029.96

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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.