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Finding the Fourth Proportional to 2,034.47, 3,051.71 and 495.47

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Solution

The fourth proportional to 2,034.47, 3,051.71 and 495.47 is: 743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.47 : 3,051.71 = 495.47 : x
  2. Step 2: Convert to fraction form
    2,034.47/3,051.71 = 495.47/x
  3. Step 3: Cross multiply
    2,034.47x = 3,051.71 × 495.47
  4. Step 4: Simplify right side
    2,034.47x = 1,512,039.62
  5. Step 5: Solve for x
    x = 1,512,039.62/2,034.47
  6. Step 6: Final answer
    x = 743.21

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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.