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Finding the Fourth Proportional to 2,096.34, 3,121.71 and 2,073.33

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Solution

The fourth proportional to 2,096.34, 3,121.71 and 2,073.33 is: 3,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.34 : 3,121.71 = 2,073.33 : x
  2. Step 2: Convert to fraction form
    2,096.34/3,121.71 = 2,073.33/x
  3. Step 3: Cross multiply
    2,096.34x = 3,121.71 × 2,073.33
  4. Step 4: Simplify right side
    2,096.34x = 6,472,334.99
  5. Step 5: Solve for x
    x = 6,472,334.99/2,096.34
  6. Step 6: Final answer
    x = 3,087.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.