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Finding the Fourth Proportional to 1,963.70, 2,946.36 and 1,766.87

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Solution

The fourth proportional to 1,963.70, 2,946.36 and 1,766.87 is: 2,651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.70 : 2,946.36 = 1,766.87 : x
  2. Step 2: Convert to fraction form
    1,963.70/2,946.36 = 1,766.87/x
  3. Step 3: Cross multiply
    1,963.70x = 2,946.36 × 1,766.87
  4. Step 4: Simplify right side
    1,963.70x = 5,205,835.09
  5. Step 5: Solve for x
    x = 5,205,835.09/1,963.70
  6. Step 6: Final answer
    x = 2,651.03

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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.