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Finding the Fourth Proportional to 1,261.26, 1,891.87 and 383.76

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Solution

The fourth proportional to 1,261.26, 1,891.87 and 383.76 is: 575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.26 : 1,891.87 = 383.76 : x
  2. Step 2: Convert to fraction form
    1,261.26/1,891.87 = 383.76/x
  3. Step 3: Cross multiply
    1,261.26x = 1,891.87 × 383.76
  4. Step 4: Simplify right side
    1,261.26x = 726,024.03
  5. Step 5: Solve for x
    x = 726,024.03/1,261.26
  6. Step 6: Final answer
    x = 575.63

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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.