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Finding the Fourth Proportional to 2,190, 3,263.10 and 2,022.33

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Solution

The fourth proportional to 2,190, 3,263.10 and 2,022.33 is: 3,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190 : 3,263.10 = 2,022.33 : x
  2. Step 2: Convert to fraction form
    2,190/3,263.10 = 2,022.33/x
  3. Step 3: Cross multiply
    2,190x = 3,263.10 × 2,022.33
  4. Step 4: Simplify right side
    2,190x = 6,599,065.02
  5. Step 5: Solve for x
    x = 6,599,065.02/2,190
  6. Step 6: Final answer
    x = 3,013.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.