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Finding the Fourth Proportional to 2,895.82, 4,343.74 and 704.54

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Solution

The fourth proportional to 2,895.82, 4,343.74 and 704.54 is: 1,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.82 : 4,343.74 = 704.54 : x
  2. Step 2: Convert to fraction form
    2,895.82/4,343.74 = 704.54/x
  3. Step 3: Cross multiply
    2,895.82x = 4,343.74 × 704.54
  4. Step 4: Simplify right side
    2,895.82x = 3,060,338.58
  5. Step 5: Solve for x
    x = 3,060,338.58/2,895.82
  6. Step 6: Final answer
    x = 1,056.81

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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.