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Finding the Fourth Proportional to 2,906.06, 4,010.92 and 1,858.22

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Solution

The fourth proportional to 2,906.06, 4,010.92 and 1,858.22 is: 2,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.06 : 4,010.92 = 1,858.22 : x
  2. Step 2: Convert to fraction form
    2,906.06/4,010.92 = 1,858.22/x
  3. Step 3: Cross multiply
    2,906.06x = 4,010.92 × 1,858.22
  4. Step 4: Simplify right side
    2,906.06x = 7,453,171.76
  5. Step 5: Solve for x
    x = 7,453,171.76/2,906.06
  6. Step 6: Final answer
    x = 2,564.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.