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Finding the Fourth Proportional to 2,107.08, 3,160.80 and 646.56

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Solution

The fourth proportional to 2,107.08, 3,160.80 and 646.56 is: 969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.08 : 3,160.80 = 646.56 : x
  2. Step 2: Convert to fraction form
    2,107.08/3,160.80 = 646.56/x
  3. Step 3: Cross multiply
    2,107.08x = 3,160.80 × 646.56
  4. Step 4: Simplify right side
    2,107.08x = 2,043,646.85
  5. Step 5: Solve for x
    x = 2,043,646.85/2,107.08
  6. Step 6: Final answer
    x = 969.90

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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.