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Finding the Fourth Proportional to 2,424.25, 3,636.44 and 692.88

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Solution

The fourth proportional to 2,424.25, 3,636.44 and 692.88 is: 1,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.25 : 3,636.44 = 692.88 : x
  2. Step 2: Convert to fraction form
    2,424.25/3,636.44 = 692.88/x
  3. Step 3: Cross multiply
    2,424.25x = 3,636.44 × 692.88
  4. Step 4: Simplify right side
    2,424.25x = 2,519,616.55
  5. Step 5: Solve for x
    x = 2,519,616.55/2,424.25
  6. Step 6: Final answer
    x = 1,039.34

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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.