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Finding the Fourth Proportional to 4,612.99, 6,922.81 and 1,838.05

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Solution

The fourth proportional to 4,612.99, 6,922.81 and 1,838.05 is: 2,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.99 : 6,922.81 = 1,838.05 : x
  2. Step 2: Convert to fraction form
    4,612.99/6,922.81 = 1,838.05/x
  3. Step 3: Cross multiply
    4,612.99x = 6,922.81 × 1,838.05
  4. Step 4: Simplify right side
    4,612.99x = 12,724,470.92
  5. Step 5: Solve for x
    x = 12,724,470.92/4,612.99
  6. Step 6: Final answer
    x = 2,758.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.