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Finding the Fourth Proportional to 1,553.46, 2,327.22 and 935.46

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Solution

The fourth proportional to 1,553.46, 2,327.22 and 935.46 is: 1,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.46 : 2,327.22 = 935.46 : x
  2. Step 2: Convert to fraction form
    1,553.46/2,327.22 = 935.46/x
  3. Step 3: Cross multiply
    1,553.46x = 2,327.22 × 935.46
  4. Step 4: Simplify right side
    1,553.46x = 2,177,021.22
  5. Step 5: Solve for x
    x = 2,177,021.22/1,553.46
  6. Step 6: Final answer
    x = 1,401.40

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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.