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Finding the Fourth Proportional to 3,307.06, 4,954.26 and 1,661.68

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Solution

The fourth proportional to 3,307.06, 4,954.26 and 1,661.68 is: 2,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.06 : 4,954.26 = 1,661.68 : x
  2. Step 2: Convert to fraction form
    3,307.06/4,954.26 = 1,661.68/x
  3. Step 3: Cross multiply
    3,307.06x = 4,954.26 × 1,661.68
  4. Step 4: Simplify right side
    3,307.06x = 8,232,394.76
  5. Step 5: Solve for x
    x = 8,232,394.76/3,307.06
  6. Step 6: Final answer
    x = 2,489.34

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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.