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Finding the Fourth Proportional to 3,096.25, 4,640.16 and 1,429.41

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Solution

The fourth proportional to 3,096.25, 4,640.16 and 1,429.41 is: 2,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.25 : 4,640.16 = 1,429.41 : x
  2. Step 2: Convert to fraction form
    3,096.25/4,640.16 = 1,429.41/x
  3. Step 3: Cross multiply
    3,096.25x = 4,640.16 × 1,429.41
  4. Step 4: Simplify right side
    3,096.25x = 6,632,691.11
  5. Step 5: Solve for x
    x = 6,632,691.11/3,096.25
  6. Step 6: Final answer
    x = 2,142.17

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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.