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Finding the Fourth Proportional to 2,072.22, 3,109.41 and 840.54

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Solution

The fourth proportional to 2,072.22, 3,109.41 and 840.54 is: 1,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.22 : 3,109.41 = 840.54 : x
  2. Step 2: Convert to fraction form
    2,072.22/3,109.41 = 840.54/x
  3. Step 3: Cross multiply
    2,072.22x = 3,109.41 × 840.54
  4. Step 4: Simplify right side
    2,072.22x = 2,613,583.48
  5. Step 5: Solve for x
    x = 2,613,583.48/2,072.22
  6. Step 6: Final answer
    x = 1,261.25

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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.