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Finding the Fourth Proportional to 2,896.16, 3,997.03 and 2,423.22

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Solution

The fourth proportional to 2,896.16, 3,997.03 and 2,423.22 is: 3,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.16 : 3,997.03 = 2,423.22 : x
  2. Step 2: Convert to fraction form
    2,896.16/3,997.03 = 2,423.22/x
  3. Step 3: Cross multiply
    2,896.16x = 3,997.03 × 2,423.22
  4. Step 4: Simplify right side
    2,896.16x = 9,685,686.72
  5. Step 5: Solve for x
    x = 9,685,686.72/2,896.16
  6. Step 6: Final answer
    x = 3,344.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.