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Finding the Fourth Proportional to 1,429.89, 2,144.83 and 939.39

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Solution

The fourth proportional to 1,429.89, 2,144.83 and 939.39 is: 1,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.89 : 2,144.83 = 939.39 : x
  2. Step 2: Convert to fraction form
    1,429.89/2,144.83 = 939.39/x
  3. Step 3: Cross multiply
    1,429.89x = 2,144.83 × 939.39
  4. Step 4: Simplify right side
    1,429.89x = 2,014,831.85
  5. Step 5: Solve for x
    x = 2,014,831.85/1,429.89
  6. Step 6: Final answer
    x = 1,409.08

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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.