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Finding the Fourth Proportional to 3,308.65, 4,966.62 and 1,664.76

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Solution

The fourth proportional to 3,308.65, 4,966.62 and 1,664.76 is: 2,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.65 : 4,966.62 = 1,664.76 : x
  2. Step 2: Convert to fraction form
    3,308.65/4,966.62 = 1,664.76/x
  3. Step 3: Cross multiply
    3,308.65x = 4,966.62 × 1,664.76
  4. Step 4: Simplify right side
    3,308.65x = 8,268,230.31
  5. Step 5: Solve for x
    x = 8,268,230.31/3,308.65
  6. Step 6: Final answer
    x = 2,498.97

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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.