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Finding the Fourth Proportional to 1,907.67, 2,846.86 and 1,896.72

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Solution

The fourth proportional to 1,907.67, 2,846.86 and 1,896.72 is: 2,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.67 : 2,846.86 = 1,896.72 : x
  2. Step 2: Convert to fraction form
    1,907.67/2,846.86 = 1,896.72/x
  3. Step 3: Cross multiply
    1,907.67x = 2,846.86 × 1,896.72
  4. Step 4: Simplify right side
    1,907.67x = 5,399,691.56
  5. Step 5: Solve for x
    x = 5,399,691.56/1,907.67
  6. Step 6: Final answer
    x = 2,830.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.