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Finding the Fourth Proportional to 3,004.92, 4,507.10 and 2,131.16

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Solution

The fourth proportional to 3,004.92, 4,507.10 and 2,131.16 is: 3,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.92 : 4,507.10 = 2,131.16 : x
  2. Step 2: Convert to fraction form
    3,004.92/4,507.10 = 2,131.16/x
  3. Step 3: Cross multiply
    3,004.92x = 4,507.10 × 2,131.16
  4. Step 4: Simplify right side
    3,004.92x = 9,605,318.04
  5. Step 5: Solve for x
    x = 9,605,318.04/3,004.92
  6. Step 6: Final answer
    x = 3,196.53

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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.