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Finding the Fourth Proportional to 3,452.78, 4,764.89 and 1,880.88

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Solution

The fourth proportional to 3,452.78, 4,764.89 and 1,880.88 is: 2,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.78 : 4,764.89 = 1,880.88 : x
  2. Step 2: Convert to fraction form
    3,452.78/4,764.89 = 1,880.88/x
  3. Step 3: Cross multiply
    3,452.78x = 4,764.89 × 1,880.88
  4. Step 4: Simplify right side
    3,452.78x = 8,962,162.48
  5. Step 5: Solve for x
    x = 8,962,162.48/3,452.78
  6. Step 6: Final answer
    x = 2,595.64

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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.