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Finding the Fourth Proportional to 2,174.94, 3,001.42 and 1,243.44

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Solution

The fourth proportional to 2,174.94, 3,001.42 and 1,243.44 is: 1,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.94 : 3,001.42 = 1,243.44 : x
  2. Step 2: Convert to fraction form
    2,174.94/3,001.42 = 1,243.44/x
  3. Step 3: Cross multiply
    2,174.94x = 3,001.42 × 1,243.44
  4. Step 4: Simplify right side
    2,174.94x = 3,732,079.47
  5. Step 5: Solve for x
    x = 3,732,079.47/2,174.94
  6. Step 6: Final answer
    x = 1,715.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.