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Finding the Fourth Proportional to 2,070.70, 3,122.45 and 1,843.90

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Solution

The fourth proportional to 2,070.70, 3,122.45 and 1,843.90 is: 2,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.70 : 3,122.45 = 1,843.90 : x
  2. Step 2: Convert to fraction form
    2,070.70/3,122.45 = 1,843.90/x
  3. Step 3: Cross multiply
    2,070.70x = 3,122.45 × 1,843.90
  4. Step 4: Simplify right side
    2,070.70x = 5,757,485.56
  5. Step 5: Solve for x
    x = 5,757,485.56/2,070.70
  6. Step 6: Final answer
    x = 2,780.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.