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Finding the Fourth Proportional to 3,308.63, 4,564.32 and 1,982.07

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Solution

The fourth proportional to 3,308.63, 4,564.32 and 1,982.07 is: 2,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.63 : 4,564.32 = 1,982.07 : x
  2. Step 2: Convert to fraction form
    3,308.63/4,564.32 = 1,982.07/x
  3. Step 3: Cross multiply
    3,308.63x = 4,564.32 × 1,982.07
  4. Step 4: Simplify right side
    3,308.63x = 9,046,801.74
  5. Step 5: Solve for x
    x = 9,046,801.74/3,308.63
  6. Step 6: Final answer
    x = 2,734.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.