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Finding the Fourth Proportional to 2,445.18, 3,667.39 and 801.72

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Solution

The fourth proportional to 2,445.18, 3,667.39 and 801.72 is: 1,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.18 : 3,667.39 = 801.72 : x
  2. Step 2: Convert to fraction form
    2,445.18/3,667.39 = 801.72/x
  3. Step 3: Cross multiply
    2,445.18x = 3,667.39 × 801.72
  4. Step 4: Simplify right side
    2,445.18x = 2,940,219.91
  5. Step 5: Solve for x
    x = 2,940,219.91/2,445.18
  6. Step 6: Final answer
    x = 1,202.46

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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.