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Finding the Fourth Proportional to 2,646.27, 3,653.57 and 1,806.66

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Solution

The fourth proportional to 2,646.27, 3,653.57 and 1,806.66 is: 2,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.27 : 3,653.57 = 1,806.66 : x
  2. Step 2: Convert to fraction form
    2,646.27/3,653.57 = 1,806.66/x
  3. Step 3: Cross multiply
    2,646.27x = 3,653.57 × 1,806.66
  4. Step 4: Simplify right side
    2,646.27x = 6,600,772.48
  5. Step 5: Solve for x
    x = 6,600,772.48/2,646.27
  6. Step 6: Final answer
    x = 2,494.37

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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.