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Finding the Fourth Proportional to 3,453.53, 4,766.90 and 2,461.68

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Solution

The fourth proportional to 3,453.53, 4,766.90 and 2,461.68 is: 3,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.53 : 4,766.90 = 2,461.68 : x
  2. Step 2: Convert to fraction form
    3,453.53/4,766.90 = 2,461.68/x
  3. Step 3: Cross multiply
    3,453.53x = 4,766.90 × 2,461.68
  4. Step 4: Simplify right side
    3,453.53x = 11,734,570.08
  5. Step 5: Solve for x
    x = 11,734,570.08/3,453.53
  6. Step 6: Final answer
    x = 3,397.85

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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.