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Finding the Fourth Proportional to 3,344.53, 5,016.15 and 1,782.67

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Solution

The fourth proportional to 3,344.53, 5,016.15 and 1,782.67 is: 2,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.53 : 5,016.15 = 1,782.67 : x
  2. Step 2: Convert to fraction form
    3,344.53/5,016.15 = 1,782.67/x
  3. Step 3: Cross multiply
    3,344.53x = 5,016.15 × 1,782.67
  4. Step 4: Simplify right side
    3,344.53x = 8,942,140.12
  5. Step 5: Solve for x
    x = 8,942,140.12/3,344.53
  6. Step 6: Final answer
    x = 2,673.66

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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.