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Finding the Fourth Proportional to 1,794.36, 2,692.86 and 821.16

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Solution

The fourth proportional to 1,794.36, 2,692.86 and 821.16 is: 1,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.36 : 2,692.86 = 821.16 : x
  2. Step 2: Convert to fraction form
    1,794.36/2,692.86 = 821.16/x
  3. Step 3: Cross multiply
    1,794.36x = 2,692.86 × 821.16
  4. Step 4: Simplify right side
    1,794.36x = 2,211,268.92
  5. Step 5: Solve for x
    x = 2,211,268.92/1,794.36
  6. Step 6: Final answer
    x = 1,232.34

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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.