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Finding the Fourth Proportional to 2,218.67, 3,328.34 and 757.48

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Solution

The fourth proportional to 2,218.67, 3,328.34 and 757.48 is: 1,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.67 : 3,328.34 = 757.48 : x
  2. Step 2: Convert to fraction form
    2,218.67/3,328.34 = 757.48/x
  3. Step 3: Cross multiply
    2,218.67x = 3,328.34 × 757.48
  4. Step 4: Simplify right side
    2,218.67x = 2,521,140.02
  5. Step 5: Solve for x
    x = 2,521,140.02/2,218.67
  6. Step 6: Final answer
    x = 1,136.33

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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.