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Finding the Fourth Proportional to 3,031.23, 4,544.31 and 949.92

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Solution

The fourth proportional to 3,031.23, 4,544.31 and 949.92 is: 1,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.23 : 4,544.31 = 949.92 : x
  2. Step 2: Convert to fraction form
    3,031.23/4,544.31 = 949.92/x
  3. Step 3: Cross multiply
    3,031.23x = 4,544.31 × 949.92
  4. Step 4: Simplify right side
    3,031.23x = 4,316,730.96
  5. Step 5: Solve for x
    x = 4,316,730.96/3,031.23
  6. Step 6: Final answer
    x = 1,424.09

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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.