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Finding the Fourth Proportional to 1,680.45, 2,328.84 and 1,656.96

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Solution

The fourth proportional to 1,680.45, 2,328.84 and 1,656.96 is: 2,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.45 : 2,328.84 = 1,656.96 : x
  2. Step 2: Convert to fraction form
    1,680.45/2,328.84 = 1,656.96/x
  3. Step 3: Cross multiply
    1,680.45x = 2,328.84 × 1,656.96
  4. Step 4: Simplify right side
    1,680.45x = 3,858,794.73
  5. Step 5: Solve for x
    x = 3,858,794.73/1,680.45
  6. Step 6: Final answer
    x = 2,296.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.