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Finding the Fourth Proportional to 2,997.34, 4,496.00 and 2,305.24

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Solution

The fourth proportional to 2,997.34, 4,496.00 and 2,305.24 is: 3,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.34 : 4,496.00 = 2,305.24 : x
  2. Step 2: Convert to fraction form
    2,997.34/4,496.00 = 2,305.24/x
  3. Step 3: Cross multiply
    2,997.34x = 4,496.00 × 2,305.24
  4. Step 4: Simplify right side
    2,997.34x = 10,364,336.27
  5. Step 5: Solve for x
    x = 10,364,336.27/2,997.34
  6. Step 6: Final answer
    x = 3,457.85

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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.