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Finding the Fourth Proportional to 2,805.80, 4,211.40 and 1,420.70

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Solution

The fourth proportional to 2,805.80, 4,211.40 and 1,420.70 is: 2,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.80 : 4,211.40 = 1,420.70 : x
  2. Step 2: Convert to fraction form
    2,805.80/4,211.40 = 1,420.70/x
  3. Step 3: Cross multiply
    2,805.80x = 4,211.40 × 1,420.70
  4. Step 4: Simplify right side
    2,805.80x = 5,983,135.98
  5. Step 5: Solve for x
    x = 5,983,135.98/2,805.80
  6. Step 6: Final answer
    x = 2,132.42

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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.