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Finding the Fourth Proportional to 2,650.42, 3,975.65 and 801.55

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Solution

The fourth proportional to 2,650.42, 3,975.65 and 801.55 is: 1,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.42 : 3,975.65 = 801.55 : x
  2. Step 2: Convert to fraction form
    2,650.42/3,975.65 = 801.55/x
  3. Step 3: Cross multiply
    2,650.42x = 3,975.65 × 801.55
  4. Step 4: Simplify right side
    2,650.42x = 3,186,682.26
  5. Step 5: Solve for x
    x = 3,186,682.26/2,650.42
  6. Step 6: Final answer
    x = 1,202.33

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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.