Home / 2,983.29-4,116.96-1,657.14

Finding the Fourth Proportional to 2,983.29, 4,116.96 and 1,657.14

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Solution

The fourth proportional to 2,983.29, 4,116.96 and 1,657.14 is: 2,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.29 : 4,116.96 = 1,657.14 : x
  2. Step 2: Convert to fraction form
    2,983.29/4,116.96 = 1,657.14/x
  3. Step 3: Cross multiply
    2,983.29x = 4,116.96 × 1,657.14
  4. Step 4: Simplify right side
    2,983.29x = 6,822,379.09
  5. Step 5: Solve for x
    x = 6,822,379.09/2,983.29
  6. Step 6: Final answer
    x = 2,286.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.