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Finding the Fourth Proportional to 2,813.80, 4,220.70 and 2,036.20

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Solution

The fourth proportional to 2,813.80, 4,220.70 and 2,036.20 is: 3,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.80 : 4,220.70 = 2,036.20 : x
  2. Step 2: Convert to fraction form
    2,813.80/4,220.70 = 2,036.20/x
  3. Step 3: Cross multiply
    2,813.80x = 4,220.70 × 2,036.20
  4. Step 4: Simplify right side
    2,813.80x = 8,594,189.34
  5. Step 5: Solve for x
    x = 8,594,189.34/2,813.80
  6. Step 6: Final answer
    x = 3,054.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.