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Finding the Fourth Proportional to 3,380.70, 4,665.26 and 1,964.51

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Solution

The fourth proportional to 3,380.70, 4,665.26 and 1,964.51 is: 2,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.70 : 4,665.26 = 1,964.51 : x
  2. Step 2: Convert to fraction form
    3,380.70/4,665.26 = 1,964.51/x
  3. Step 3: Cross multiply
    3,380.70x = 4,665.26 × 1,964.51
  4. Step 4: Simplify right side
    3,380.70x = 9,164,916.77
  5. Step 5: Solve for x
    x = 9,164,916.77/3,380.70
  6. Step 6: Final answer
    x = 2,710.95

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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.