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Finding the Fourth Proportional to 2,242.51, 3,361.57 and 1,010.23

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Solution

The fourth proportional to 2,242.51, 3,361.57 and 1,010.23 is: 1,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.51 : 3,361.57 = 1,010.23 : x
  2. Step 2: Convert to fraction form
    2,242.51/3,361.57 = 1,010.23/x
  3. Step 3: Cross multiply
    2,242.51x = 3,361.57 × 1,010.23
  4. Step 4: Simplify right side
    2,242.51x = 3,395,958.86
  5. Step 5: Solve for x
    x = 3,395,958.86/2,242.51
  6. Step 6: Final answer
    x = 1,514.36

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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.