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Finding the Fourth Proportional to 2,701.80, 4,048.92 and 2,408.94

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Solution

The fourth proportional to 2,701.80, 4,048.92 and 2,408.94 is: 3,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.80 : 4,048.92 = 2,408.94 : x
  2. Step 2: Convert to fraction form
    2,701.80/4,048.92 = 2,408.94/x
  3. Step 3: Cross multiply
    2,701.80x = 4,048.92 × 2,408.94
  4. Step 4: Simplify right side
    2,701.80x = 9,753,605.34
  5. Step 5: Solve for x
    x = 9,753,605.34/2,701.80
  6. Step 6: Final answer
    x = 3,610.04

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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.