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Finding the Fourth Proportional to 2,107.18, 3,160.86 and 646.30

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Solution

The fourth proportional to 2,107.18, 3,160.86 and 646.30 is: 969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.18 : 3,160.86 = 646.30 : x
  2. Step 2: Convert to fraction form
    2,107.18/3,160.86 = 646.30/x
  3. Step 3: Cross multiply
    2,107.18x = 3,160.86 × 646.30
  4. Step 4: Simplify right side
    2,107.18x = 2,042,863.82
  5. Step 5: Solve for x
    x = 2,042,863.82/2,107.18
  6. Step 6: Final answer
    x = 969.48

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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.