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Finding the Fourth Proportional to 3,452.23, 4,764.07 and 1,880.32

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Solution

The fourth proportional to 3,452.23, 4,764.07 and 1,880.32 is: 2,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.23 : 4,764.07 = 1,880.32 : x
  2. Step 2: Convert to fraction form
    3,452.23/4,764.07 = 1,880.32/x
  3. Step 3: Cross multiply
    3,452.23x = 4,764.07 × 1,880.32
  4. Step 4: Simplify right side
    3,452.23x = 8,957,976.10
  5. Step 5: Solve for x
    x = 8,957,976.10/3,452.23
  6. Step 6: Final answer
    x = 2,594.84

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1.5x scale

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.