Home / 2,034.02-3,049.17-735.20

Finding the Fourth Proportional to 2,034.02, 3,049.17 and 735.20

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Solution

The fourth proportional to 2,034.02, 3,049.17 and 735.20 is: 1,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.02 : 3,049.17 = 735.20 : x
  2. Step 2: Convert to fraction form
    2,034.02/3,049.17 = 735.20/x
  3. Step 3: Cross multiply
    2,034.02x = 3,049.17 × 735.20
  4. Step 4: Simplify right side
    2,034.02x = 2,241,749.78
  5. Step 5: Solve for x
    x = 2,241,749.78/2,034.02
  6. Step 6: Final answer
    x = 1,102.13

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1.5x scale

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.