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Finding the Fourth Proportional to 2,801.70, 4,198.26 and 1,411.15

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Solution

The fourth proportional to 2,801.70, 4,198.26 and 1,411.15 is: 2,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.70 : 4,198.26 = 1,411.15 : x
  2. Step 2: Convert to fraction form
    2,801.70/4,198.26 = 1,411.15/x
  3. Step 3: Cross multiply
    2,801.70x = 4,198.26 × 1,411.15
  4. Step 4: Simplify right side
    2,801.70x = 5,924,374.60
  5. Step 5: Solve for x
    x = 5,924,374.60/2,801.70
  6. Step 6: Final answer
    x = 2,114.56

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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.