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Finding the Fourth Proportional to 2,294.85, 3,442.29 and 735.09

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Solution

The fourth proportional to 2,294.85, 3,442.29 and 735.09 is: 1,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.85 : 3,442.29 = 735.09 : x
  2. Step 2: Convert to fraction form
    2,294.85/3,442.29 = 735.09/x
  3. Step 3: Cross multiply
    2,294.85x = 3,442.29 × 735.09
  4. Step 4: Simplify right side
    2,294.85x = 2,530,392.96
  5. Step 5: Solve for x
    x = 2,530,392.96/2,294.85
  6. Step 6: Final answer
    x = 1,102.64

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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.