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Finding the Fourth Proportional to 2,106.80, 2,900.46 and 2,002.90

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Solution

The fourth proportional to 2,106.80, 2,900.46 and 2,002.90 is: 2,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.80 : 2,900.46 = 2,002.90 : x
  2. Step 2: Convert to fraction form
    2,106.80/2,900.46 = 2,002.90/x
  3. Step 3: Cross multiply
    2,106.80x = 2,900.46 × 2,002.90
  4. Step 4: Simplify right side
    2,106.80x = 5,809,331.33
  5. Step 5: Solve for x
    x = 5,809,331.33/2,106.80
  6. Step 6: Final answer
    x = 2,757.42

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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.