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Finding the Fourth Proportional to 2,147.21, 3,220.76 and 686.45

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Solution

The fourth proportional to 2,147.21, 3,220.76 and 686.45 is: 1,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.21 : 3,220.76 = 686.45 : x
  2. Step 2: Convert to fraction form
    2,147.21/3,220.76 = 686.45/x
  3. Step 3: Cross multiply
    2,147.21x = 3,220.76 × 686.45
  4. Step 4: Simplify right side
    2,147.21x = 2,210,887.27
  5. Step 5: Solve for x
    x = 2,210,887.27/2,147.21
  6. Step 6: Final answer
    x = 1,029.66

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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.