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Finding the Fourth Proportional to 3,452.87, 4,764.95 and 1,880.96

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Solution

The fourth proportional to 3,452.87, 4,764.95 and 1,880.96 is: 2,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.87 : 4,764.95 = 1,880.96 : x
  2. Step 2: Convert to fraction form
    3,452.87/4,764.95 = 1,880.96/x
  3. Step 3: Cross multiply
    3,452.87x = 4,764.95 × 1,880.96
  4. Step 4: Simplify right side
    3,452.87x = 8,962,647.12
  5. Step 5: Solve for x
    x = 8,962,647.12/3,452.87
  6. Step 6: Final answer
    x = 2,595.71

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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.