Home / 1,922.17-2,883.25-461.32

Finding the Fourth Proportional to 1,922.17, 2,883.25 and 461.32

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Solution

The fourth proportional to 1,922.17, 2,883.25 and 461.32 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.17 : 2,883.25 = 461.32 : x
  2. Step 2: Convert to fraction form
    1,922.17/2,883.25 = 461.32/x
  3. Step 3: Cross multiply
    1,922.17x = 2,883.25 × 461.32
  4. Step 4: Simplify right side
    1,922.17x = 1,330,102.69
  5. Step 5: Solve for x
    x = 1,330,102.69/1,922.17
  6. Step 6: Final answer
    x = 691.98

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Why These Related Problems?

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