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Finding the Fourth Proportional to 2,732.04, 4,096.62 and 976.32

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Solution

The fourth proportional to 2,732.04, 4,096.62 and 976.32 is: 1,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.04 : 4,096.62 = 976.32 : x
  2. Step 2: Convert to fraction form
    2,732.04/4,096.62 = 976.32/x
  3. Step 3: Cross multiply
    2,732.04x = 4,096.62 × 976.32
  4. Step 4: Simplify right side
    2,732.04x = 3,999,612.04
  5. Step 5: Solve for x
    x = 3,999,612.04/2,732.04
  6. Step 6: Final answer
    x = 1,463.97

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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.