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Finding the Fourth Proportional to 2,090.96, 3,134.52 and 722

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Solution

The fourth proportional to 2,090.96, 3,134.52 and 722 is: 1,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.96 : 3,134.52 = 722 : x
  2. Step 2: Convert to fraction form
    2,090.96/3,134.52 = 722/x
  3. Step 3: Cross multiply
    2,090.96x = 3,134.52 × 722
  4. Step 4: Simplify right side
    2,090.96x = 2,263,123.44
  5. Step 5: Solve for x
    x = 2,263,123.44/2,090.96
  6. Step 6: Final answer
    x = 1,082.34

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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.