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Finding the Fourth Proportional to 2,137.74, 2,950.20 and 1,474.89

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Solution

The fourth proportional to 2,137.74, 2,950.20 and 1,474.89 is: 2,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.74 : 2,950.20 = 1,474.89 : x
  2. Step 2: Convert to fraction form
    2,137.74/2,950.20 = 1,474.89/x
  3. Step 3: Cross multiply
    2,137.74x = 2,950.20 × 1,474.89
  4. Step 4: Simplify right side
    2,137.74x = 4,351,220.48
  5. Step 5: Solve for x
    x = 4,351,220.48/2,137.74
  6. Step 6: Final answer
    x = 2,035.43

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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.