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Finding the Fourth Proportional to 2,206.58, 3,309.54 and 646.18

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Solution

The fourth proportional to 2,206.58, 3,309.54 and 646.18 is: 969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.58 : 3,309.54 = 646.18 : x
  2. Step 2: Convert to fraction form
    2,206.58/3,309.54 = 646.18/x
  3. Step 3: Cross multiply
    2,206.58x = 3,309.54 × 646.18
  4. Step 4: Simplify right side
    2,206.58x = 2,138,558.56
  5. Step 5: Solve for x
    x = 2,138,558.56/2,206.58
  6. Step 6: Final answer
    x = 969.17

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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.