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Finding the Fourth Proportional to 2,014.37, 2,791.01 and 1,970.63

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Solution

The fourth proportional to 2,014.37, 2,791.01 and 1,970.63 is: 2,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.37 : 2,791.01 = 1,970.63 : x
  2. Step 2: Convert to fraction form
    2,014.37/2,791.01 = 1,970.63/x
  3. Step 3: Cross multiply
    2,014.37x = 2,791.01 × 1,970.63
  4. Step 4: Simplify right side
    2,014.37x = 5,500,039.01
  5. Step 5: Solve for x
    x = 5,500,039.01/2,014.37
  6. Step 6: Final answer
    x = 2,730.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.