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Finding the Fourth Proportional to 2,732.14, 4,097.20 and 976.66

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Solution

The fourth proportional to 2,732.14, 4,097.20 and 976.66 is: 1,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.14 : 4,097.20 = 976.66 : x
  2. Step 2: Convert to fraction form
    2,732.14/4,097.20 = 976.66/x
  3. Step 3: Cross multiply
    2,732.14x = 4,097.20 × 976.66
  4. Step 4: Simplify right side
    2,732.14x = 4,001,584.27
  5. Step 5: Solve for x
    x = 4,001,584.27/2,732.14
  6. Step 6: Final answer
    x = 1,464.64

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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.