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Finding the Fourth Proportional to 2,630.01, 3,945.63 and 781.09

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Solution

The fourth proportional to 2,630.01, 3,945.63 and 781.09 is: 1,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.01 : 3,945.63 = 781.09 : x
  2. Step 2: Convert to fraction form
    2,630.01/3,945.63 = 781.09/x
  3. Step 3: Cross multiply
    2,630.01x = 3,945.63 × 781.09
  4. Step 4: Simplify right side
    2,630.01x = 3,081,880.32
  5. Step 5: Solve for x
    x = 3,081,880.32/2,630.01
  6. Step 6: Final answer
    x = 1,171.81

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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.