Home / 1,823.22-2,734.25-590.34

Finding the Fourth Proportional to 1,823.22, 2,734.25 and 590.34

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Solution

The fourth proportional to 1,823.22, 2,734.25 and 590.34 is: 885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.22 : 2,734.25 = 590.34 : x
  2. Step 2: Convert to fraction form
    1,823.22/2,734.25 = 590.34/x
  3. Step 3: Cross multiply
    1,823.22x = 2,734.25 × 590.34
  4. Step 4: Simplify right side
    1,823.22x = 1,614,145.46
  5. Step 5: Solve for x
    x = 1,614,145.46/1,823.22
  6. Step 6: Final answer
    x = 885.33

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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.