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Finding the Fourth Proportional to 3,144.42, 4,717.44 and 954.18

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Solution

The fourth proportional to 3,144.42, 4,717.44 and 954.18 is: 1,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.42 : 4,717.44 = 954.18 : x
  2. Step 2: Convert to fraction form
    3,144.42/4,717.44 = 954.18/x
  3. Step 3: Cross multiply
    3,144.42x = 4,717.44 × 954.18
  4. Step 4: Simplify right side
    3,144.42x = 4,501,286.90
  5. Step 5: Solve for x
    x = 4,501,286.90/3,144.42
  6. Step 6: Final answer
    x = 1,431.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.