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Finding the Fourth Proportional to 3,175.74, 4,756.86 and 1,633.50

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Solution

The fourth proportional to 3,175.74, 4,756.86 and 1,633.50 is: 2,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.74 : 4,756.86 = 1,633.50 : x
  2. Step 2: Convert to fraction form
    3,175.74/4,756.86 = 1,633.50/x
  3. Step 3: Cross multiply
    3,175.74x = 4,756.86 × 1,633.50
  4. Step 4: Simplify right side
    3,175.74x = 7,770,330.81
  5. Step 5: Solve for x
    x = 7,770,330.81/3,175.74
  6. Step 6: Final answer
    x = 2,446.78

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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.