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Finding the Fourth Proportional to 2,766.87, 3,816.33 and 1,646.95

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Solution

The fourth proportional to 2,766.87, 3,816.33 and 1,646.95 is: 2,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.87 : 3,816.33 = 1,646.95 : x
  2. Step 2: Convert to fraction form
    2,766.87/3,816.33 = 1,646.95/x
  3. Step 3: Cross multiply
    2,766.87x = 3,816.33 × 1,646.95
  4. Step 4: Simplify right side
    2,766.87x = 6,285,285.61
  5. Step 5: Solve for x
    x = 6,285,285.61/2,766.87
  6. Step 6: Final answer
    x = 2,271.62

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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.