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Finding the Fourth Proportional to 2,147.99, 3,222.17 and 686.75

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Solution

The fourth proportional to 2,147.99, 3,222.17 and 686.75 is: 1,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.99 : 3,222.17 = 686.75 : x
  2. Step 2: Convert to fraction form
    2,147.99/3,222.17 = 686.75/x
  3. Step 3: Cross multiply
    2,147.99x = 3,222.17 × 686.75
  4. Step 4: Simplify right side
    2,147.99x = 2,212,825.25
  5. Step 5: Solve for x
    x = 2,212,825.25/2,147.99
  6. Step 6: Final answer
    x = 1,030.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.