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Finding the Fourth Proportional to 2,882.98, 3,978.63 and 1,704.01

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Solution

The fourth proportional to 2,882.98, 3,978.63 and 1,704.01 is: 2,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.98 : 3,978.63 = 1,704.01 : x
  2. Step 2: Convert to fraction form
    2,882.98/3,978.63 = 1,704.01/x
  3. Step 3: Cross multiply
    2,882.98x = 3,978.63 × 1,704.01
  4. Step 4: Simplify right side
    2,882.98x = 6,779,625.31
  5. Step 5: Solve for x
    x = 6,779,625.31/2,882.98
  6. Step 6: Final answer
    x = 2,351.60

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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.