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Finding the Fourth Proportional to 2,218.56, 3,328.14 and 757.32

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Solution

The fourth proportional to 2,218.56, 3,328.14 and 757.32 is: 1,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.56 : 3,328.14 = 757.32 : x
  2. Step 2: Convert to fraction form
    2,218.56/3,328.14 = 757.32/x
  3. Step 3: Cross multiply
    2,218.56x = 3,328.14 × 757.32
  4. Step 4: Simplify right side
    2,218.56x = 2,520,446.56
  5. Step 5: Solve for x
    x = 2,520,446.56/2,218.56
  6. Step 6: Final answer
    x = 1,136.08

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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.