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Finding the Fourth Proportional to 3,001.25, 4,501.88 and 809.97

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Solution

The fourth proportional to 3,001.25, 4,501.88 and 809.97 is: 1,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.25 : 4,501.88 = 809.97 : x
  2. Step 2: Convert to fraction form
    3,001.25/4,501.88 = 809.97/x
  3. Step 3: Cross multiply
    3,001.25x = 4,501.88 × 809.97
  4. Step 4: Simplify right side
    3,001.25x = 3,646,383.69
  5. Step 5: Solve for x
    x = 3,646,383.69/3,001.25
  6. Step 6: Final answer
    x = 1,214.96

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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.