Home / 1,823.36-2,734.43-590.50

Finding the Fourth Proportional to 1,823.36, 2,734.43 and 590.50

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Solution

The fourth proportional to 1,823.36, 2,734.43 and 590.50 is: 885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.36 : 2,734.43 = 590.50 : x
  2. Step 2: Convert to fraction form
    1,823.36/2,734.43 = 590.50/x
  3. Step 3: Cross multiply
    1,823.36x = 2,734.43 × 590.50
  4. Step 4: Simplify right side
    1,823.36x = 1,614,675.56
  5. Step 5: Solve for x
    x = 1,614,675.56/1,823.36
  6. Step 6: Final answer
    x = 885.55

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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.