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Finding the Fourth Proportional to 2,120.70, 2,926.35 and 1,963.98

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Solution

The fourth proportional to 2,120.70, 2,926.35 and 1,963.98 is: 2,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.70 : 2,926.35 = 1,963.98 : x
  2. Step 2: Convert to fraction form
    2,120.70/2,926.35 = 1,963.98/x
  3. Step 3: Cross multiply
    2,120.70x = 2,926.35 × 1,963.98
  4. Step 4: Simplify right side
    2,120.70x = 5,747,292.87
  5. Step 5: Solve for x
    x = 5,747,292.87/2,120.70
  6. Step 6: Final answer
    x = 2,710.09

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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.