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Finding the Fourth Proportional to 1,285.69, 1,930.70 and 1,219.93

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Solution

The fourth proportional to 1,285.69, 1,930.70 and 1,219.93 is: 1,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.69 : 1,930.70 = 1,219.93 : x
  2. Step 2: Convert to fraction form
    1,285.69/1,930.70 = 1,219.93/x
  3. Step 3: Cross multiply
    1,285.69x = 1,930.70 × 1,219.93
  4. Step 4: Simplify right side
    1,285.69x = 2,355,318.85
  5. Step 5: Solve for x
    x = 2,355,318.85/1,285.69
  6. Step 6: Final answer
    x = 1,831.95

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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.