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Finding the Fourth Proportional to 2,653.70, 3,664.77 and 2,186.23

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Solution

The fourth proportional to 2,653.70, 3,664.77 and 2,186.23 is: 3,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.70 : 3,664.77 = 2,186.23 : x
  2. Step 2: Convert to fraction form
    2,653.70/3,664.77 = 2,186.23/x
  3. Step 3: Cross multiply
    2,653.70x = 3,664.77 × 2,186.23
  4. Step 4: Simplify right side
    2,653.70x = 8,012,006.33
  5. Step 5: Solve for x
    x = 8,012,006.33/2,653.70
  6. Step 6: Final answer
    x = 3,019.19

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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.