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Finding the Fourth Proportional to 3,367.82, 5,051.75 and 902.99

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Solution

The fourth proportional to 3,367.82, 5,051.75 and 902.99 is: 1,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.82 : 5,051.75 = 902.99 : x
  2. Step 2: Convert to fraction form
    3,367.82/5,051.75 = 902.99/x
  3. Step 3: Cross multiply
    3,367.82x = 5,051.75 × 902.99
  4. Step 4: Simplify right side
    3,367.82x = 4,561,649.96
  5. Step 5: Solve for x
    x = 4,561,649.96/3,367.82
  6. Step 6: Final answer
    x = 1,354.48

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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.