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Finding the Fourth Proportional to 1,651.72, 2,279.30 and 905.66

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Solution

The fourth proportional to 1,651.72, 2,279.30 and 905.66 is: 1,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.72 : 2,279.30 = 905.66 : x
  2. Step 2: Convert to fraction form
    1,651.72/2,279.30 = 905.66/x
  3. Step 3: Cross multiply
    1,651.72x = 2,279.30 × 905.66
  4. Step 4: Simplify right side
    1,651.72x = 2,064,259.44
  5. Step 5: Solve for x
    x = 2,064,259.44/1,651.72
  6. Step 6: Final answer
    x = 1,249.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.