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Finding the Fourth Proportional to 1,846.25, 2,767.75 and 692.81

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Solution

The fourth proportional to 1,846.25, 2,767.75 and 692.81 is: 1,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.25 : 2,767.75 = 692.81 : x
  2. Step 2: Convert to fraction form
    1,846.25/2,767.75 = 692.81/x
  3. Step 3: Cross multiply
    1,846.25x = 2,767.75 × 692.81
  4. Step 4: Simplify right side
    1,846.25x = 1,917,524.88
  5. Step 5: Solve for x
    x = 1,917,524.88/1,846.25
  6. Step 6: Final answer
    x = 1,038.61

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1.5x scale

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.