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Finding the Fourth Proportional to 2,641.57, 3,645.97 and 1,646.66

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Solution

The fourth proportional to 2,641.57, 3,645.97 and 1,646.66 is: 2,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.57 : 3,645.97 = 1,646.66 : x
  2. Step 2: Convert to fraction form
    2,641.57/3,645.97 = 1,646.66/x
  3. Step 3: Cross multiply
    2,641.57x = 3,645.97 × 1,646.66
  4. Step 4: Simplify right side
    2,641.57x = 6,003,659.89
  5. Step 5: Solve for x
    x = 6,003,659.89/2,641.57
  6. Step 6: Final answer
    x = 2,272.76

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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.