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Finding the Fourth Proportional to 2,107.49, 3,161.14 and 646.59

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Solution

The fourth proportional to 2,107.49, 3,161.14 and 646.59 is: 969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.49 : 3,161.14 = 646.59 : x
  2. Step 2: Convert to fraction form
    2,107.49/3,161.14 = 646.59/x
  3. Step 3: Cross multiply
    2,107.49x = 3,161.14 × 646.59
  4. Step 4: Simplify right side
    2,107.49x = 2,043,971.75
  5. Step 5: Solve for x
    x = 2,043,971.75/2,107.49
  6. Step 6: Final answer
    x = 969.86

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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.