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Finding the Fourth Proportional to 1,374.89, 1,897.36 and 745.42

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Solution

The fourth proportional to 1,374.89, 1,897.36 and 745.42 is: 1,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.89 : 1,897.36 = 745.42 : x
  2. Step 2: Convert to fraction form
    1,374.89/1,897.36 = 745.42/x
  3. Step 3: Cross multiply
    1,374.89x = 1,897.36 × 745.42
  4. Step 4: Simplify right side
    1,374.89x = 1,414,325.64
  5. Step 5: Solve for x
    x = 1,414,325.64/1,374.89
  6. Step 6: Final answer
    x = 1,028.68

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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.