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Finding the Fourth Proportional to 1,409.39, 2,112.59 and 677.42

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Solution

The fourth proportional to 1,409.39, 2,112.59 and 677.42 is: 1,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.39 : 2,112.59 = 677.42 : x
  2. Step 2: Convert to fraction form
    1,409.39/2,112.59 = 677.42/x
  3. Step 3: Cross multiply
    1,409.39x = 2,112.59 × 677.42
  4. Step 4: Simplify right side
    1,409.39x = 1,431,101.85
  5. Step 5: Solve for x
    x = 1,431,101.85/1,409.39
  6. Step 6: Final answer
    x = 1,015.41

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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.