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Finding the Fourth Proportional to 1,671.26, 2,504.46 and 1,185.26

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Solution

The fourth proportional to 1,671.26, 2,504.46 and 1,185.26 is: 1,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.26 : 2,504.46 = 1,185.26 : x
  2. Step 2: Convert to fraction form
    1,671.26/2,504.46 = 1,185.26/x
  3. Step 3: Cross multiply
    1,671.26x = 2,504.46 × 1,185.26
  4. Step 4: Simplify right side
    1,671.26x = 2,968,436.26
  5. Step 5: Solve for x
    x = 2,968,436.26/1,671.26
  6. Step 6: Final answer
    x = 1,776.17

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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.