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Finding the Fourth Proportional to 1,447.26, 1,994.89 and 1,131.98

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Solution

The fourth proportional to 1,447.26, 1,994.89 and 1,131.98 is: 1,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.26 : 1,994.89 = 1,131.98 : x
  2. Step 2: Convert to fraction form
    1,447.26/1,994.89 = 1,131.98/x
  3. Step 3: Cross multiply
    1,447.26x = 1,994.89 × 1,131.98
  4. Step 4: Simplify right side
    1,447.26x = 2,258,175.58
  5. Step 5: Solve for x
    x = 2,258,175.58/1,447.26
  6. Step 6: Final answer
    x = 1,560.31

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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.