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Finding the Fourth Proportional to 1,961.98, 2,706.50 and 1,215.70

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Solution

The fourth proportional to 1,961.98, 2,706.50 and 1,215.70 is: 1,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.98 : 2,706.50 = 1,215.70 : x
  2. Step 2: Convert to fraction form
    1,961.98/2,706.50 = 1,215.70/x
  3. Step 3: Cross multiply
    1,961.98x = 2,706.50 × 1,215.70
  4. Step 4: Simplify right side
    1,961.98x = 3,290,292.05
  5. Step 5: Solve for x
    x = 3,290,292.05/1,961.98
  6. Step 6: Final answer
    x = 1,677.03

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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.