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Finding the Fourth Proportional to 2,445.08, 3,667.64 and 801.64

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Solution

The fourth proportional to 2,445.08, 3,667.64 and 801.64 is: 1,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.08 : 3,667.64 = 801.64 : x
  2. Step 2: Convert to fraction form
    2,445.08/3,667.64 = 801.64/x
  3. Step 3: Cross multiply
    2,445.08x = 3,667.64 × 801.64
  4. Step 4: Simplify right side
    2,445.08x = 2,940,126.93
  5. Step 5: Solve for x
    x = 2,940,126.93/2,445.08
  6. Step 6: Final answer
    x = 1,202.47

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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.