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Finding the Fourth Proportional to 2,147.17, 3,220.38 and 646.17

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Solution

The fourth proportional to 2,147.17, 3,220.38 and 646.17 is: 969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.17 : 3,220.38 = 646.17 : x
  2. Step 2: Convert to fraction form
    2,147.17/3,220.38 = 646.17/x
  3. Step 3: Cross multiply
    2,147.17x = 3,220.38 × 646.17
  4. Step 4: Simplify right side
    2,147.17x = 2,080,909.93
  5. Step 5: Solve for x
    x = 2,080,909.93/2,147.17
  6. Step 6: Final answer
    x = 969.14

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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.