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Finding the Fourth Proportional to 1,447.17, 1,997.42 and 849.93

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Solution

The fourth proportional to 1,447.17, 1,997.42 and 849.93 is: 1,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.17 : 1,997.42 = 849.93 : x
  2. Step 2: Convert to fraction form
    1,447.17/1,997.42 = 849.93/x
  3. Step 3: Cross multiply
    1,447.17x = 1,997.42 × 849.93
  4. Step 4: Simplify right side
    1,447.17x = 1,697,662.93
  5. Step 5: Solve for x
    x = 1,697,662.93/1,447.17
  6. Step 6: Final answer
    x = 1,173.09

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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.