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Finding the Fourth Proportional to 2,168.25, 2,990.57 and 1,506.21

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Solution

The fourth proportional to 2,168.25, 2,990.57 and 1,506.21 is: 2,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.25 : 2,990.57 = 1,506.21 : x
  2. Step 2: Convert to fraction form
    2,168.25/2,990.57 = 1,506.21/x
  3. Step 3: Cross multiply
    2,168.25x = 2,990.57 × 1,506.21
  4. Step 4: Simplify right side
    2,168.25x = 4,504,418.91
  5. Step 5: Solve for x
    x = 4,504,418.91/2,168.25
  6. Step 6: Final answer
    x = 2,077.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.