Home / 1,823.40-2,734.65-727.98

Finding the Fourth Proportional to 1,823.40, 2,734.65 and 727.98

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Solution

The fourth proportional to 1,823.40, 2,734.65 and 727.98 is: 1,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.40 : 2,734.65 = 727.98 : x
  2. Step 2: Convert to fraction form
    1,823.40/2,734.65 = 727.98/x
  3. Step 3: Cross multiply
    1,823.40x = 2,734.65 × 727.98
  4. Step 4: Simplify right side
    1,823.40x = 1,990,770.51
  5. Step 5: Solve for x
    x = 1,990,770.51/1,823.40
  6. Step 6: Final answer
    x = 1,091.79

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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.