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Finding the Fourth Proportional to 1,651.47, 2,279.02 and 905.43

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Solution

The fourth proportional to 1,651.47, 2,279.02 and 905.43 is: 1,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.47 : 2,279.02 = 905.43 : x
  2. Step 2: Convert to fraction form
    1,651.47/2,279.02 = 905.43/x
  3. Step 3: Cross multiply
    1,651.47x = 2,279.02 × 905.43
  4. Step 4: Simplify right side
    1,651.47x = 2,063,493.08
  5. Step 5: Solve for x
    x = 2,063,493.08/1,651.47
  6. Step 6: Final answer
    x = 1,249.49

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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.