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Finding the Fourth Proportional to 1,249.44, 1,875.33 and 919.37

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Solution

The fourth proportional to 1,249.44, 1,875.33 and 919.37 is: 1,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.44 : 1,875.33 = 919.37 : x
  2. Step 2: Convert to fraction form
    1,249.44/1,875.33 = 919.37/x
  3. Step 3: Cross multiply
    1,249.44x = 1,875.33 × 919.37
  4. Step 4: Simplify right side
    1,249.44x = 1,724,126.83
  5. Step 5: Solve for x
    x = 1,724,126.83/1,249.44
  6. Step 6: Final answer
    x = 1,379.92

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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.