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Finding the Fourth Proportional to 2,481.81, 3,722.74 and 632.93

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Solution

The fourth proportional to 2,481.81, 3,722.74 and 632.93 is: 949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.81 : 3,722.74 = 632.93 : x
  2. Step 2: Convert to fraction form
    2,481.81/3,722.74 = 632.93/x
  3. Step 3: Cross multiply
    2,481.81x = 3,722.74 × 632.93
  4. Step 4: Simplify right side
    2,481.81x = 2,356,213.63
  5. Step 5: Solve for x
    x = 2,356,213.63/2,481.81
  6. Step 6: Final answer
    x = 949.39

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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.