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Finding the Fourth Proportional to 3,305.57, 4,958.33 and 1,456.67

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Solution

The fourth proportional to 3,305.57, 4,958.33 and 1,456.67 is: 2,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.57 : 4,958.33 = 1,456.67 : x
  2. Step 2: Convert to fraction form
    3,305.57/4,958.33 = 1,456.67/x
  3. Step 3: Cross multiply
    3,305.57x = 4,958.33 × 1,456.67
  4. Step 4: Simplify right side
    3,305.57x = 7,222,655.67
  5. Step 5: Solve for x
    x = 7,222,655.67/3,305.57
  6. Step 6: Final answer
    x = 2,185.00

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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.