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Finding the Fourth Proportional to 2,161.33, 2,980.99 and 1,863.09

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Solution

The fourth proportional to 2,161.33, 2,980.99 and 1,863.09 is: 2,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.33 : 2,980.99 = 1,863.09 : x
  2. Step 2: Convert to fraction form
    2,161.33/2,980.99 = 1,863.09/x
  3. Step 3: Cross multiply
    2,161.33x = 2,980.99 × 1,863.09
  4. Step 4: Simplify right side
    2,161.33x = 5,553,852.66
  5. Step 5: Solve for x
    x = 5,553,852.66/2,161.33
  6. Step 6: Final answer
    x = 2,569.65

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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.