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Finding the Fourth Proportional to 2,107.51, 3,161.11 and 646.54

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Solution

The fourth proportional to 2,107.51, 3,161.11 and 646.54 is: 969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.51 : 3,161.11 = 646.54 : x
  2. Step 2: Convert to fraction form
    2,107.51/3,161.11 = 646.54/x
  3. Step 3: Cross multiply
    2,107.51x = 3,161.11 × 646.54
  4. Step 4: Simplify right side
    2,107.51x = 2,043,784.06
  5. Step 5: Solve for x
    x = 2,043,784.06/2,107.51
  6. Step 6: Final answer
    x = 969.76

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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.