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Finding the Fourth Proportional to 3,452.64, 4,764.65 and 1,880.74

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Solution

The fourth proportional to 3,452.64, 4,764.65 and 1,880.74 is: 2,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.64 : 4,764.65 = 1,880.74 : x
  2. Step 2: Convert to fraction form
    3,452.64/4,764.65 = 1,880.74/x
  3. Step 3: Cross multiply
    3,452.64x = 4,764.65 × 1,880.74
  4. Step 4: Simplify right side
    3,452.64x = 8,961,058.44
  5. Step 5: Solve for x
    x = 8,961,058.44/3,452.64
  6. Step 6: Final answer
    x = 2,595.43

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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.