Home / 1,842.83-2,764.31-610.21

Finding the Fourth Proportional to 1,842.83, 2,764.31 and 610.21

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Solution

The fourth proportional to 1,842.83, 2,764.31 and 610.21 is: 915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.83 : 2,764.31 = 610.21 : x
  2. Step 2: Convert to fraction form
    1,842.83/2,764.31 = 610.21/x
  3. Step 3: Cross multiply
    1,842.83x = 2,764.31 × 610.21
  4. Step 4: Simplify right side
    1,842.83x = 1,686,799.64
  5. Step 5: Solve for x
    x = 1,686,799.64/1,842.83
  6. Step 6: Final answer
    x = 915.33

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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.