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Finding the Fourth Proportional to 2,114.69, 3,168.41 and 1,497.38

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Solution

The fourth proportional to 2,114.69, 3,168.41 and 1,497.38 is: 2,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.69 : 3,168.41 = 1,497.38 : x
  2. Step 2: Convert to fraction form
    2,114.69/3,168.41 = 1,497.38/x
  3. Step 3: Cross multiply
    2,114.69x = 3,168.41 × 1,497.38
  4. Step 4: Simplify right side
    2,114.69x = 4,744,313.77
  5. Step 5: Solve for x
    x = 4,744,313.77/2,114.69
  6. Step 6: Final answer
    x = 2,243.50

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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.