Home / 2,024.26-3,034.32-929.44

Finding the Fourth Proportional to 2,024.26, 3,034.32 and 929.44

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Solution

The fourth proportional to 2,024.26, 3,034.32 and 929.44 is: 1,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.26 : 3,034.32 = 929.44 : x
  2. Step 2: Convert to fraction form
    2,024.26/3,034.32 = 929.44/x
  3. Step 3: Cross multiply
    2,024.26x = 3,034.32 × 929.44
  4. Step 4: Simplify right side
    2,024.26x = 2,820,218.38
  5. Step 5: Solve for x
    x = 2,820,218.38/2,024.26
  6. Step 6: Final answer
    x = 1,393.21

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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.