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Finding the Fourth Proportional to 1,374.58, 1,896.90 and 745.09

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Solution

The fourth proportional to 1,374.58, 1,896.90 and 745.09 is: 1,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.58 : 1,896.90 = 745.09 : x
  2. Step 2: Convert to fraction form
    1,374.58/1,896.90 = 745.09/x
  3. Step 3: Cross multiply
    1,374.58x = 1,896.90 × 745.09
  4. Step 4: Simplify right side
    1,374.58x = 1,413,361.22
  5. Step 5: Solve for x
    x = 1,413,361.22/1,374.58
  6. Step 6: Final answer
    x = 1,028.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.