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Finding the Fourth Proportional to 3,354.75, 5,032.94 and 1,274.67

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Solution

The fourth proportional to 3,354.75, 5,032.94 and 1,274.67 is: 1,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.75 : 5,032.94 = 1,274.67 : x
  2. Step 2: Convert to fraction form
    3,354.75/5,032.94 = 1,274.67/x
  3. Step 3: Cross multiply
    3,354.75x = 5,032.94 × 1,274.67
  4. Step 4: Simplify right side
    3,354.75x = 6,415,331.26
  5. Step 5: Solve for x
    x = 6,415,331.26/3,354.75
  6. Step 6: Final answer
    x = 1,912.31

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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.