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Finding the Fourth Proportional to 2,102.67, 3,153.73 and 715.95

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Solution

The fourth proportional to 2,102.67, 3,153.73 and 715.95 is: 1,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.67 : 3,153.73 = 715.95 : x
  2. Step 2: Convert to fraction form
    2,102.67/3,153.73 = 715.95/x
  3. Step 3: Cross multiply
    2,102.67x = 3,153.73 × 715.95
  4. Step 4: Simplify right side
    2,102.67x = 2,257,912.99
  5. Step 5: Solve for x
    x = 2,257,912.99/2,102.67
  6. Step 6: Final answer
    x = 1,073.83

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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.