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Finding the Fourth Proportional to 1,633.78, 2,447.58 and 1,266.77

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Solution

The fourth proportional to 1,633.78, 2,447.58 and 1,266.77 is: 1,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.78 : 2,447.58 = 1,266.77 : x
  2. Step 2: Convert to fraction form
    1,633.78/2,447.58 = 1,266.77/x
  3. Step 3: Cross multiply
    1,633.78x = 2,447.58 × 1,266.77
  4. Step 4: Simplify right side
    1,633.78x = 3,100,520.92
  5. Step 5: Solve for x
    x = 3,100,520.92/1,633.78
  6. Step 6: Final answer
    x = 1,897.76

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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.