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Finding the Fourth Proportional to 2,897.72, 3,997.32 and 2,234.32

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Solution

The fourth proportional to 2,897.72, 3,997.32 and 2,234.32 is: 3,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.72 : 3,997.32 = 2,234.32 : x
  2. Step 2: Convert to fraction form
    2,897.72/3,997.32 = 2,234.32/x
  3. Step 3: Cross multiply
    2,897.72x = 3,997.32 × 2,234.32
  4. Step 4: Simplify right side
    2,897.72x = 8,931,292.02
  5. Step 5: Solve for x
    x = 8,931,292.02/2,897.72
  6. Step 6: Final answer
    x = 3,082.18

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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.