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Finding the Fourth Proportional to 2,161.82, 2,983.51 and 1,690.14

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Solution

The fourth proportional to 2,161.82, 2,983.51 and 1,690.14 is: 2,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.82 : 2,983.51 = 1,690.14 : x
  2. Step 2: Convert to fraction form
    2,161.82/2,983.51 = 1,690.14/x
  3. Step 3: Cross multiply
    2,161.82x = 2,983.51 × 1,690.14
  4. Step 4: Simplify right side
    2,161.82x = 5,042,549.59
  5. Step 5: Solve for x
    x = 5,042,549.59/2,161.82
  6. Step 6: Final answer
    x = 2,332.55

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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.