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Finding the Fourth Proportional to 2,107.20, 3,160.80 and 646.35

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Solution

The fourth proportional to 2,107.20, 3,160.80 and 646.35 is: 969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.20 : 3,160.80 = 646.35 : x
  2. Step 2: Convert to fraction form
    2,107.20/3,160.80 = 646.35/x
  3. Step 3: Cross multiply
    2,107.20x = 3,160.80 × 646.35
  4. Step 4: Simplify right side
    2,107.20x = 2,042,983.08
  5. Step 5: Solve for x
    x = 2,042,983.08/2,107.20
  6. Step 6: Final answer
    x = 969.53

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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.