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Finding the Fourth Proportional to 2,563.33, 3,842.26 and 1,830.69

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Solution

The fourth proportional to 2,563.33, 3,842.26 and 1,830.69 is: 2,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.33 : 3,842.26 = 1,830.69 : x
  2. Step 2: Convert to fraction form
    2,563.33/3,842.26 = 1,830.69/x
  3. Step 3: Cross multiply
    2,563.33x = 3,842.26 × 1,830.69
  4. Step 4: Simplify right side
    2,563.33x = 7,033,974.84
  5. Step 5: Solve for x
    x = 7,033,974.84/2,563.33
  6. Step 6: Final answer
    x = 2,744.08

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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.