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Finding the Fourth Proportional to 2,261.88, 3,390.48 and 1,090.22

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Solution

The fourth proportional to 2,261.88, 3,390.48 and 1,090.22 is: 1,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.88 : 3,390.48 = 1,090.22 : x
  2. Step 2: Convert to fraction form
    2,261.88/3,390.48 = 1,090.22/x
  3. Step 3: Cross multiply
    2,261.88x = 3,390.48 × 1,090.22
  4. Step 4: Simplify right side
    2,261.88x = 3,696,352.15
  5. Step 5: Solve for x
    x = 3,696,352.15/2,261.88
  6. Step 6: Final answer
    x = 1,634.19

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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.