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Finding the Fourth Proportional to 2,697.98, 4,048.41 and 1,237.82

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Solution

The fourth proportional to 2,697.98, 4,048.41 and 1,237.82 is: 1,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.98 : 4,048.41 = 1,237.82 : x
  2. Step 2: Convert to fraction form
    2,697.98/4,048.41 = 1,237.82/x
  3. Step 3: Cross multiply
    2,697.98x = 4,048.41 × 1,237.82
  4. Step 4: Simplify right side
    2,697.98x = 5,011,202.87
  5. Step 5: Solve for x
    x = 5,011,202.87/2,697.98
  6. Step 6: Final answer
    x = 1,857.39

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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.