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Finding the Fourth Proportional to 1,551, 2,326.50 and 396.76

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Solution

The fourth proportional to 1,551, 2,326.50 and 396.76 is: 595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551 : 2,326.50 = 396.76 : x
  2. Step 2: Convert to fraction form
    1,551/2,326.50 = 396.76/x
  3. Step 3: Cross multiply
    1,551x = 2,326.50 × 396.76
  4. Step 4: Simplify right side
    1,551x = 923,062.14
  5. Step 5: Solve for x
    x = 923,062.14/1,551
  6. Step 6: Final answer
    x = 595.14

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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.