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Finding the Fourth Proportional to 3,394.70, 4,684.62 and 1,882.25

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Solution

The fourth proportional to 3,394.70, 4,684.62 and 1,882.25 is: 2,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.70 : 4,684.62 = 1,882.25 : x
  2. Step 2: Convert to fraction form
    3,394.70/4,684.62 = 1,882.25/x
  3. Step 3: Cross multiply
    3,394.70x = 4,684.62 × 1,882.25
  4. Step 4: Simplify right side
    3,394.70x = 8,817,623.73
  5. Step 5: Solve for x
    x = 8,817,623.73/3,394.70
  6. Step 6: Final answer
    x = 2,597.47

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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.