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Finding the Fourth Proportional to 2,612.63, 3,608.17 and 2,052.21

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Solution

The fourth proportional to 2,612.63, 3,608.17 and 2,052.21 is: 2,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.63 : 3,608.17 = 2,052.21 : x
  2. Step 2: Convert to fraction form
    2,612.63/3,608.17 = 2,052.21/x
  3. Step 3: Cross multiply
    2,612.63x = 3,608.17 × 2,052.21
  4. Step 4: Simplify right side
    2,612.63x = 7,404,726.58
  5. Step 5: Solve for x
    x = 7,404,726.58/2,612.63
  6. Step 6: Final answer
    x = 2,834.20

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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.