Home / 1,824.02-2,734.35-727.70

Finding the Fourth Proportional to 1,824.02, 2,734.35 and 727.70

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Solution

The fourth proportional to 1,824.02, 2,734.35 and 727.70 is: 1,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.02 : 2,734.35 = 727.70 : x
  2. Step 2: Convert to fraction form
    1,824.02/2,734.35 = 727.70/x
  3. Step 3: Cross multiply
    1,824.02x = 2,734.35 × 727.70
  4. Step 4: Simplify right side
    1,824.02x = 1,989,786.50
  5. Step 5: Solve for x
    x = 1,989,786.50/1,824.02
  6. Step 6: Final answer
    x = 1,090.88

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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.