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Finding the Fourth Proportional to 3,144.40, 4,712.94 and 1,409.38

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Solution

The fourth proportional to 3,144.40, 4,712.94 and 1,409.38 is: 2,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.40 : 4,712.94 = 1,409.38 : x
  2. Step 2: Convert to fraction form
    3,144.40/4,712.94 = 1,409.38/x
  3. Step 3: Cross multiply
    3,144.40x = 4,712.94 × 1,409.38
  4. Step 4: Simplify right side
    3,144.40x = 6,642,323.38
  5. Step 5: Solve for x
    x = 6,642,323.38/3,144.40
  6. Step 6: Final answer
    x = 2,112.43

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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.