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Finding the Fourth Proportional to 2,153.05, 3,229.61 and 692.21

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Solution

The fourth proportional to 2,153.05, 3,229.61 and 692.21 is: 1,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.05 : 3,229.61 = 692.21 : x
  2. Step 2: Convert to fraction form
    2,153.05/3,229.61 = 692.21/x
  3. Step 3: Cross multiply
    2,153.05x = 3,229.61 × 692.21
  4. Step 4: Simplify right side
    2,153.05x = 2,235,572.95
  5. Step 5: Solve for x
    x = 2,235,572.95/2,153.05
  6. Step 6: Final answer
    x = 1,038.33

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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.