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Finding the Fourth Proportional to 2,896.02, 3,996 and 1,717.20

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Solution

The fourth proportional to 2,896.02, 3,996 and 1,717.20 is: 2,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.02 : 3,996 = 1,717.20 : x
  2. Step 2: Convert to fraction form
    2,896.02/3,996 = 1,717.20/x
  3. Step 3: Cross multiply
    2,896.02x = 3,996 × 1,717.20
  4. Step 4: Simplify right side
    2,896.02x = 6,861,931.20
  5. Step 5: Solve for x
    x = 6,861,931.20/2,896.02
  6. Step 6: Final answer
    x = 2,369.44

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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.