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Finding the Fourth Proportional to 2,161.98, 2,983.55 and 1,230.54

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Solution

The fourth proportional to 2,161.98, 2,983.55 and 1,230.54 is: 1,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.98 : 2,983.55 = 1,230.54 : x
  2. Step 2: Convert to fraction form
    2,161.98/2,983.55 = 1,230.54/x
  3. Step 3: Cross multiply
    2,161.98x = 2,983.55 × 1,230.54
  4. Step 4: Simplify right side
    2,161.98x = 3,671,377.62
  5. Step 5: Solve for x
    x = 3,671,377.62/2,161.98
  6. Step 6: Final answer
    x = 1,698.16

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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.