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Finding the Fourth Proportional to 3,309, 4,567.26 and 1,912.56

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Solution

The fourth proportional to 3,309, 4,567.26 and 1,912.56 is: 2,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309 : 4,567.26 = 1,912.56 : x
  2. Step 2: Convert to fraction form
    3,309/4,567.26 = 1,912.56/x
  3. Step 3: Cross multiply
    3,309x = 4,567.26 × 1,912.56
  4. Step 4: Simplify right side
    3,309x = 8,735,158.79
  5. Step 5: Solve for x
    x = 8,735,158.79/3,309
  6. Step 6: Final answer
    x = 2,639.82

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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.