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Finding the Fourth Proportional to 2,014.62, 2,791.36 and 1,970.88

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Solution

The fourth proportional to 2,014.62, 2,791.36 and 1,970.88 is: 2,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.62 : 2,791.36 = 1,970.88 : x
  2. Step 2: Convert to fraction form
    2,014.62/2,791.36 = 1,970.88/x
  3. Step 3: Cross multiply
    2,014.62x = 2,791.36 × 1,970.88
  4. Step 4: Simplify right side
    2,014.62x = 5,501,435.60
  5. Step 5: Solve for x
    x = 5,501,435.60/2,014.62
  6. Step 6: Final answer
    x = 2,730.76

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