Home / 1,982.34-2,973.52-1,922.18

Finding the Fourth Proportional to 1,982.34, 2,973.52 and 1,922.18

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Solution

The fourth proportional to 1,982.34, 2,973.52 and 1,922.18 is: 2,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.34 : 2,973.52 = 1,922.18 : x
  2. Step 2: Convert to fraction form
    1,982.34/2,973.52 = 1,922.18/x
  3. Step 3: Cross multiply
    1,982.34x = 2,973.52 × 1,922.18
  4. Step 4: Simplify right side
    1,982.34x = 5,715,640.67
  5. Step 5: Solve for x
    x = 5,715,640.67/1,982.34
  6. Step 6: Final answer
    x = 2,883.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.