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Finding the Fourth Proportional to 2,362.93, 3,546.56 and 1,813.33

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Solution

The fourth proportional to 2,362.93, 3,546.56 and 1,813.33 is: 2,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.93 : 3,546.56 = 1,813.33 : x
  2. Step 2: Convert to fraction form
    2,362.93/3,546.56 = 1,813.33/x
  3. Step 3: Cross multiply
    2,362.93x = 3,546.56 × 1,813.33
  4. Step 4: Simplify right side
    2,362.93x = 6,431,074.58
  5. Step 5: Solve for x
    x = 6,431,074.58/2,362.93
  6. Step 6: Final answer
    x = 2,721.65

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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.