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Finding the Fourth Proportional to 3,171.41, 4,756.34 and 1,322.55

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Solution

The fourth proportional to 3,171.41, 4,756.34 and 1,322.55 is: 1,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.41 : 4,756.34 = 1,322.55 : x
  2. Step 2: Convert to fraction form
    3,171.41/4,756.34 = 1,322.55/x
  3. Step 3: Cross multiply
    3,171.41x = 4,756.34 × 1,322.55
  4. Step 4: Simplify right side
    3,171.41x = 6,290,490.85
  5. Step 5: Solve for x
    x = 6,290,490.85/3,171.41
  6. Step 6: Final answer
    x = 1,983.50

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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.