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Finding the Fourth Proportional to 1,651.82, 2,279.52 and 905.78

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Solution

The fourth proportional to 1,651.82, 2,279.52 and 905.78 is: 1,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.82 : 2,279.52 = 905.78 : x
  2. Step 2: Convert to fraction form
    1,651.82/2,279.52 = 905.78/x
  3. Step 3: Cross multiply
    1,651.82x = 2,279.52 × 905.78
  4. Step 4: Simplify right side
    1,651.82x = 2,064,743.63
  5. Step 5: Solve for x
    x = 2,064,743.63/1,651.82
  6. Step 6: Final answer
    x = 1,249.98

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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.