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Finding the Fourth Proportional to 1,351.71, 2,027.54 and 377.80

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Solution

The fourth proportional to 1,351.71, 2,027.54 and 377.80 is: 566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.71 : 2,027.54 = 377.80 : x
  2. Step 2: Convert to fraction form
    1,351.71/2,027.54 = 377.80/x
  3. Step 3: Cross multiply
    1,351.71x = 2,027.54 × 377.80
  4. Step 4: Simplify right side
    1,351.71x = 766,000.49
  5. Step 5: Solve for x
    x = 766,000.49/1,351.71
  6. Step 6: Final answer
    x = 566.69

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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.