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Finding the Fourth Proportional to 2,493.85, 3,741.38 and 738.84

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Solution

The fourth proportional to 2,493.85, 3,741.38 and 738.84 is: 1,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.85 : 3,741.38 = 738.84 : x
  2. Step 2: Convert to fraction form
    2,493.85/3,741.38 = 738.84/x
  3. Step 3: Cross multiply
    2,493.85x = 3,741.38 × 738.84
  4. Step 4: Simplify right side
    2,493.85x = 2,764,281.20
  5. Step 5: Solve for x
    x = 2,764,281.20/2,493.85
  6. Step 6: Final answer
    x = 1,108.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.