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Finding the Fourth Proportional to 3,394.55, 4,682.81 and 2,065.95

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Solution

The fourth proportional to 3,394.55, 4,682.81 and 2,065.95 is: 2,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.55 : 4,682.81 = 2,065.95 : x
  2. Step 2: Convert to fraction form
    3,394.55/4,682.81 = 2,065.95/x
  3. Step 3: Cross multiply
    3,394.55x = 4,682.81 × 2,065.95
  4. Step 4: Simplify right side
    3,394.55x = 9,674,456.48
  5. Step 5: Solve for x
    x = 9,674,456.48/3,394.55
  6. Step 6: Final answer
    x = 2,849.99

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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.