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Finding the Fourth Proportional to 1,846.09, 2,544.10 and 1,321.21

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Solution

The fourth proportional to 1,846.09, 2,544.10 and 1,321.21 is: 1,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.09 : 2,544.10 = 1,321.21 : x
  2. Step 2: Convert to fraction form
    1,846.09/2,544.10 = 1,321.21/x
  3. Step 3: Cross multiply
    1,846.09x = 2,544.10 × 1,321.21
  4. Step 4: Simplify right side
    1,846.09x = 3,361,290.36
  5. Step 5: Solve for x
    x = 3,361,290.36/1,846.09
  6. Step 6: Final answer
    x = 1,820.76

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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.