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Finding the Fourth Proportional to 2,805.20, 4,200.60 and 2,070.80

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Solution

The fourth proportional to 2,805.20, 4,200.60 and 2,070.80 is: 3,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.20 : 4,200.60 = 2,070.80 : x
  2. Step 2: Convert to fraction form
    2,805.20/4,200.60 = 2,070.80/x
  3. Step 3: Cross multiply
    2,805.20x = 4,200.60 × 2,070.80
  4. Step 4: Simplify right side
    2,805.20x = 8,698,602.48
  5. Step 5: Solve for x
    x = 8,698,602.48/2,805.20
  6. Step 6: Final answer
    x = 3,100.88

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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.