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Finding the Fourth Proportional to 2,241.51, 3,360.07 and 1,009.23

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Solution

The fourth proportional to 2,241.51, 3,360.07 and 1,009.23 is: 1,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.51 : 3,360.07 = 1,009.23 : x
  2. Step 2: Convert to fraction form
    2,241.51/3,360.07 = 1,009.23/x
  3. Step 3: Cross multiply
    2,241.51x = 3,360.07 × 1,009.23
  4. Step 4: Simplify right side
    2,241.51x = 3,391,083.45
  5. Step 5: Solve for x
    x = 3,391,083.45/2,241.51
  6. Step 6: Final answer
    x = 1,512.86

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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.