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Finding the Fourth Proportional to 2,445.22, 3,667.98 and 801.94

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Solution

The fourth proportional to 2,445.22, 3,667.98 and 801.94 is: 1,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.22 : 3,667.98 = 801.94 : x
  2. Step 2: Convert to fraction form
    2,445.22/3,667.98 = 801.94/x
  3. Step 3: Cross multiply
    2,445.22x = 3,667.98 × 801.94
  4. Step 4: Simplify right side
    2,445.22x = 2,941,499.88
  5. Step 5: Solve for x
    x = 2,941,499.88/2,445.22
  6. Step 6: Final answer
    x = 1,202.96

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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.