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Finding the Fourth Proportional to 2,843.34, 4,259.25 and 1,381.38

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Solution

The fourth proportional to 2,843.34, 4,259.25 and 1,381.38 is: 2,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.34 : 4,259.25 = 1,381.38 : x
  2. Step 2: Convert to fraction form
    2,843.34/4,259.25 = 1,381.38/x
  3. Step 3: Cross multiply
    2,843.34x = 4,259.25 × 1,381.38
  4. Step 4: Simplify right side
    2,843.34x = 5,883,642.77
  5. Step 5: Solve for x
    x = 5,883,642.77/2,843.34
  6. Step 6: Final answer
    x = 2,069.27

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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.