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Finding the Fourth Proportional to 1,208.66, 1,671.46 and 1,186.80

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Solution

The fourth proportional to 1,208.66, 1,671.46 and 1,186.80 is: 1,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.66 : 1,671.46 = 1,186.80 : x
  2. Step 2: Convert to fraction form
    1,208.66/1,671.46 = 1,186.80/x
  3. Step 3: Cross multiply
    1,208.66x = 1,671.46 × 1,186.80
  4. Step 4: Simplify right side
    1,208.66x = 1,983,688.73
  5. Step 5: Solve for x
    x = 1,983,688.73/1,208.66
  6. Step 6: Final answer
    x = 1,641.23

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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.