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Finding the Fourth Proportional to 2,241.36, 3,365.19 and 1,146.51

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Solution

The fourth proportional to 2,241.36, 3,365.19 and 1,146.51 is: 1,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.36 : 3,365.19 = 1,146.51 : x
  2. Step 2: Convert to fraction form
    2,241.36/3,365.19 = 1,146.51/x
  3. Step 3: Cross multiply
    2,241.36x = 3,365.19 × 1,146.51
  4. Step 4: Simplify right side
    2,241.36x = 3,858,223.99
  5. Step 5: Solve for x
    x = 3,858,223.99/2,241.36
  6. Step 6: Final answer
    x = 1,721.38

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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.