Home / 1,981.98-2,735.10-1,097.78

Finding the Fourth Proportional to 1,981.98, 2,735.10 and 1,097.78

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Solution

The fourth proportional to 1,981.98, 2,735.10 and 1,097.78 is: 1,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.98 : 2,735.10 = 1,097.78 : x
  2. Step 2: Convert to fraction form
    1,981.98/2,735.10 = 1,097.78/x
  3. Step 3: Cross multiply
    1,981.98x = 2,735.10 × 1,097.78
  4. Step 4: Simplify right side
    1,981.98x = 3,002,524.40
  5. Step 5: Solve for x
    x = 3,002,524.40/1,981.98
  6. Step 6: Final answer
    x = 1,514.91

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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.