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Finding the Fourth Proportional to 2,766.64, 3,818.99 and 1,704.58

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Solution

The fourth proportional to 2,766.64, 3,818.99 and 1,704.58 is: 2,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.64 : 3,818.99 = 1,704.58 : x
  2. Step 2: Convert to fraction form
    2,766.64/3,818.99 = 1,704.58/x
  3. Step 3: Cross multiply
    2,766.64x = 3,818.99 × 1,704.58
  4. Step 4: Simplify right side
    2,766.64x = 6,509,773.97
  5. Step 5: Solve for x
    x = 6,509,773.97/2,766.64
  6. Step 6: Final answer
    x = 2,352.95

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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.