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Finding the Fourth Proportional to 2,882.96, 3,978.42 and 1,704.06

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Solution

The fourth proportional to 2,882.96, 3,978.42 and 1,704.06 is: 2,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.96 : 3,978.42 = 1,704.06 : x
  2. Step 2: Convert to fraction form
    2,882.96/3,978.42 = 1,704.06/x
  3. Step 3: Cross multiply
    2,882.96x = 3,978.42 × 1,704.06
  4. Step 4: Simplify right side
    2,882.96x = 6,779,466.39
  5. Step 5: Solve for x
    x = 6,779,466.39/2,882.96
  6. Step 6: Final answer
    x = 2,351.56

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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.