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Finding the Fourth Proportional to 2,811.94, 3,880.91 and 1,692.92

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Solution

The fourth proportional to 2,811.94, 3,880.91 and 1,692.92 is: 2,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.94 : 3,880.91 = 1,692.92 : x
  2. Step 2: Convert to fraction form
    2,811.94/3,880.91 = 1,692.92/x
  3. Step 3: Cross multiply
    2,811.94x = 3,880.91 × 1,692.92
  4. Step 4: Simplify right side
    2,811.94x = 6,570,070.16
  5. Step 5: Solve for x
    x = 6,570,070.16/2,811.94
  6. Step 6: Final answer
    x = 2,336.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.