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Finding the Fourth Proportional to 3,170.52, 4,756.74 and 2,247.86

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Solution

The fourth proportional to 3,170.52, 4,756.74 and 2,247.86 is: 3,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.52 : 4,756.74 = 2,247.86 : x
  2. Step 2: Convert to fraction form
    3,170.52/4,756.74 = 2,247.86/x
  3. Step 3: Cross multiply
    3,170.52x = 4,756.74 × 2,247.86
  4. Step 4: Simplify right side
    3,170.52x = 10,692,485.58
  5. Step 5: Solve for x
    x = 10,692,485.58/3,170.52
  6. Step 6: Final answer
    x = 3,372.47

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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.