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Finding the Fourth Proportional to 2,612.09, 3,605.16 and 1,617.80

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Solution

The fourth proportional to 2,612.09, 3,605.16 and 1,617.80 is: 2,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.09 : 3,605.16 = 1,617.80 : x
  2. Step 2: Convert to fraction form
    2,612.09/3,605.16 = 1,617.80/x
  3. Step 3: Cross multiply
    2,612.09x = 3,605.16 × 1,617.80
  4. Step 4: Simplify right side
    2,612.09x = 5,832,427.85
  5. Step 5: Solve for x
    x = 5,832,427.85/2,612.09
  6. Step 6: Final answer
    x = 2,232.86

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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.