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Finding the Fourth Proportional to 1,431.88, 2,144.17 and 943.45

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Solution

The fourth proportional to 1,431.88, 2,144.17 and 943.45 is: 1,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.88 : 2,144.17 = 943.45 : x
  2. Step 2: Convert to fraction form
    1,431.88/2,144.17 = 943.45/x
  3. Step 3: Cross multiply
    1,431.88x = 2,144.17 × 943.45
  4. Step 4: Simplify right side
    1,431.88x = 2,022,913.01
  5. Step 5: Solve for x
    x = 2,022,913.01/1,431.88
  6. Step 6: Final answer
    x = 1,412.77

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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.