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Finding the Fourth Proportional to 3,266.29, 4,900.17 and 957.79

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Solution

The fourth proportional to 3,266.29, 4,900.17 and 957.79 is: 1,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.29 : 4,900.17 = 957.79 : x
  2. Step 2: Convert to fraction form
    3,266.29/4,900.17 = 957.79/x
  3. Step 3: Cross multiply
    3,266.29x = 4,900.17 × 957.79
  4. Step 4: Simplify right side
    3,266.29x = 4,693,309.32
  5. Step 5: Solve for x
    x = 4,693,309.32/3,266.29
  6. Step 6: Final answer
    x = 1,436.90

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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.