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Finding the Fourth Proportional to 2,172.72, 2,997.24 and 1,288.16

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Solution

The fourth proportional to 2,172.72, 2,997.24 and 1,288.16 is: 1,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.72 : 2,997.24 = 1,288.16 : x
  2. Step 2: Convert to fraction form
    2,172.72/2,997.24 = 1,288.16/x
  3. Step 3: Cross multiply
    2,172.72x = 2,997.24 × 1,288.16
  4. Step 4: Simplify right side
    2,172.72x = 3,860,924.68
  5. Step 5: Solve for x
    x = 3,860,924.68/2,172.72
  6. Step 6: Final answer
    x = 1,777.00

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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.