Home / 1,823-2,733.85-727.07

Finding the Fourth Proportional to 1,823, 2,733.85 and 727.07

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Solution

The fourth proportional to 1,823, 2,733.85 and 727.07 is: 1,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823 : 2,733.85 = 727.07 : x
  2. Step 2: Convert to fraction form
    1,823/2,733.85 = 727.07/x
  3. Step 3: Cross multiply
    1,823x = 2,733.85 × 727.07
  4. Step 4: Simplify right side
    1,823x = 1,987,700.32
  5. Step 5: Solve for x
    x = 1,987,700.32/1,823
  6. Step 6: Final answer
    x = 1,090.35

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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.