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Finding the Fourth Proportional to 3,019.70, 4,529.94 and 939.86

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Solution

The fourth proportional to 3,019.70, 4,529.94 and 939.86 is: 1,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.70 : 4,529.94 = 939.86 : x
  2. Step 2: Convert to fraction form
    3,019.70/4,529.94 = 939.86/x
  3. Step 3: Cross multiply
    3,019.70x = 4,529.94 × 939.86
  4. Step 4: Simplify right side
    3,019.70x = 4,257,509.41
  5. Step 5: Solve for x
    x = 4,257,509.41/3,019.70
  6. Step 6: Final answer
    x = 1,409.91

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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.