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Finding the Fourth Proportional to 1,846.84, 2,767.95 and 922.65

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Solution

The fourth proportional to 1,846.84, 2,767.95 and 922.65 is: 1,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.84 : 2,767.95 = 922.65 : x
  2. Step 2: Convert to fraction form
    1,846.84/2,767.95 = 922.65/x
  3. Step 3: Cross multiply
    1,846.84x = 2,767.95 × 922.65
  4. Step 4: Simplify right side
    1,846.84x = 2,553,855.99
  5. Step 5: Solve for x
    x = 2,553,855.99/1,846.84
  6. Step 6: Final answer
    x = 1,382.83

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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.