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Finding the Fourth Proportional to 2,983.51, 4,117.26 and 1,657.22

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Solution

The fourth proportional to 2,983.51, 4,117.26 and 1,657.22 is: 2,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.51 : 4,117.26 = 1,657.22 : x
  2. Step 2: Convert to fraction form
    2,983.51/4,117.26 = 1,657.22/x
  3. Step 3: Cross multiply
    2,983.51x = 4,117.26 × 1,657.22
  4. Step 4: Simplify right side
    2,983.51x = 6,823,205.62
  5. Step 5: Solve for x
    x = 6,823,205.62/2,983.51
  6. Step 6: Final answer
    x = 2,286.97

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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.