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Finding the Fourth Proportional to 4,646.15, 6,960.92 and 2,449.97

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Solution

The fourth proportional to 4,646.15, 6,960.92 and 2,449.97 is: 3,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.15 : 6,960.92 = 2,449.97 : x
  2. Step 2: Convert to fraction form
    4,646.15/6,960.92 = 2,449.97/x
  3. Step 3: Cross multiply
    4,646.15x = 6,960.92 × 2,449.97
  4. Step 4: Simplify right side
    4,646.15x = 17,053,998.12
  5. Step 5: Solve for x
    x = 17,053,998.12/4,646.15
  6. Step 6: Final answer
    x = 3,670.57

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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.