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Finding the Fourth Proportional to 3,452.22, 4,764.02 and 1,880.28

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Solution

The fourth proportional to 3,452.22, 4,764.02 and 1,880.28 is: 2,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.22 : 4,764.02 = 1,880.28 : x
  2. Step 2: Convert to fraction form
    3,452.22/4,764.02 = 1,880.28/x
  3. Step 3: Cross multiply
    3,452.22x = 4,764.02 × 1,880.28
  4. Step 4: Simplify right side
    3,452.22x = 8,957,682.12
  5. Step 5: Solve for x
    x = 8,957,682.12/3,452.22
  6. Step 6: Final answer
    x = 2,594.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.