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Finding the Fourth Proportional to 2,902.34, 4,355.61 and 2,245.86

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Solution

The fourth proportional to 2,902.34, 4,355.61 and 2,245.86 is: 3,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.34 : 4,355.61 = 2,245.86 : x
  2. Step 2: Convert to fraction form
    2,902.34/4,355.61 = 2,245.86/x
  3. Step 3: Cross multiply
    2,902.34x = 4,355.61 × 2,245.86
  4. Step 4: Simplify right side
    2,902.34x = 9,782,090.27
  5. Step 5: Solve for x
    x = 9,782,090.27/2,902.34
  6. Step 6: Final answer
    x = 3,370.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.