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Finding the Fourth Proportional to 2,034.29, 3,051.43 and 495.29

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Solution

The fourth proportional to 2,034.29, 3,051.43 and 495.29 is: 742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.29 : 3,051.43 = 495.29 : x
  2. Step 2: Convert to fraction form
    2,034.29/3,051.43 = 495.29/x
  3. Step 3: Cross multiply
    2,034.29x = 3,051.43 × 495.29
  4. Step 4: Simplify right side
    2,034.29x = 1,511,326.27
  5. Step 5: Solve for x
    x = 1,511,326.27/2,034.29
  6. Step 6: Final answer
    x = 742.93

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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.