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Finding the Fourth Proportional to 3,384.63, 4,671.41 and 2,205.68

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Solution

The fourth proportional to 3,384.63, 4,671.41 and 2,205.68 is: 3,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.63 : 4,671.41 = 2,205.68 : x
  2. Step 2: Convert to fraction form
    3,384.63/4,671.41 = 2,205.68/x
  3. Step 3: Cross multiply
    3,384.63x = 4,671.41 × 2,205.68
  4. Step 4: Simplify right side
    3,384.63x = 10,303,601.22
  5. Step 5: Solve for x
    x = 10,303,601.22/3,384.63
  6. Step 6: Final answer
    x = 3,044.23

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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.