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Finding the Fourth Proportional to 3,305.69, 4,960.16 and 1,456.57

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Solution

The fourth proportional to 3,305.69, 4,960.16 and 1,456.57 is: 2,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.69 : 4,960.16 = 1,456.57 : x
  2. Step 2: Convert to fraction form
    3,305.69/4,960.16 = 1,456.57/x
  3. Step 3: Cross multiply
    3,305.69x = 4,960.16 × 1,456.57
  4. Step 4: Simplify right side
    3,305.69x = 7,224,820.25
  5. Step 5: Solve for x
    x = 7,224,820.25/3,305.69
  6. Step 6: Final answer
    x = 2,185.57

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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.