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Finding the Fourth Proportional to 2,665.68, 3,679.08 and 1,671.81

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Solution

The fourth proportional to 2,665.68, 3,679.08 and 1,671.81 is: 2,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.68 : 3,679.08 = 1,671.81 : x
  2. Step 2: Convert to fraction form
    2,665.68/3,679.08 = 1,671.81/x
  3. Step 3: Cross multiply
    2,665.68x = 3,679.08 × 1,671.81
  4. Step 4: Simplify right side
    2,665.68x = 6,150,722.73
  5. Step 5: Solve for x
    x = 6,150,722.73/2,665.68
  6. Step 6: Final answer
    x = 2,307.37

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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.