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Finding the Fourth Proportional to 2,903.24, 3,997.68 and 2,397.20

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Solution

The fourth proportional to 2,903.24, 3,997.68 and 2,397.20 is: 3,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.24 : 3,997.68 = 2,397.20 : x
  2. Step 2: Convert to fraction form
    2,903.24/3,997.68 = 2,397.20/x
  3. Step 3: Cross multiply
    2,903.24x = 3,997.68 × 2,397.20
  4. Step 4: Simplify right side
    2,903.24x = 9,583,216.26
  5. Step 5: Solve for x
    x = 9,583,216.26/2,903.24
  6. Step 6: Final answer
    x = 3,300.87

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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.