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Finding the Fourth Proportional to 2,845.17, 4,267.77 and 996.30

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Solution

The fourth proportional to 2,845.17, 4,267.77 and 996.30 is: 1,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.17 : 4,267.77 = 996.30 : x
  2. Step 2: Convert to fraction form
    2,845.17/4,267.77 = 996.30/x
  3. Step 3: Cross multiply
    2,845.17x = 4,267.77 × 996.30
  4. Step 4: Simplify right side
    2,845.17x = 4,251,979.25
  5. Step 5: Solve for x
    x = 4,251,979.25/2,845.17
  6. Step 6: Final answer
    x = 1,494.46

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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.