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Finding the Fourth Proportional to 2,704.33, 3,731.43 and 2,075.59

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Solution

The fourth proportional to 2,704.33, 3,731.43 and 2,075.59 is: 2,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.33 : 3,731.43 = 2,075.59 : x
  2. Step 2: Convert to fraction form
    2,704.33/3,731.43 = 2,075.59/x
  3. Step 3: Cross multiply
    2,704.33x = 3,731.43 × 2,075.59
  4. Step 4: Simplify right side
    2,704.33x = 7,744,918.79
  5. Step 5: Solve for x
    x = 7,744,918.79/2,704.33
  6. Step 6: Final answer
    x = 2,863.90

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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.