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Finding the Fourth Proportional to 2,920.23, 4,381.22 and 1,361.16

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Solution

The fourth proportional to 2,920.23, 4,381.22 and 1,361.16 is: 2,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.23 : 4,381.22 = 1,361.16 : x
  2. Step 2: Convert to fraction form
    2,920.23/4,381.22 = 1,361.16/x
  3. Step 3: Cross multiply
    2,920.23x = 4,381.22 × 1,361.16
  4. Step 4: Simplify right side
    2,920.23x = 5,963,544.82
  5. Step 5: Solve for x
    x = 5,963,544.82/2,920.23
  6. Step 6: Final answer
    x = 2,042.15

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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.