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Finding the Fourth Proportional to 1,261.11, 1,891.77 and 383.69

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Solution

The fourth proportional to 1,261.11, 1,891.77 and 383.69 is: 575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.11 : 1,891.77 = 383.69 : x
  2. Step 2: Convert to fraction form
    1,261.11/1,891.77 = 383.69/x
  3. Step 3: Cross multiply
    1,261.11x = 1,891.77 × 383.69
  4. Step 4: Simplify right side
    1,261.11x = 725,845.88
  5. Step 5: Solve for x
    x = 725,845.88/1,261.11
  6. Step 6: Final answer
    x = 575.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.