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Finding the Fourth Proportional to 3,022.42, 4,170.99 and 1,696.42

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Solution

The fourth proportional to 3,022.42, 4,170.99 and 1,696.42 is: 2,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.42 : 4,170.99 = 1,696.42 : x
  2. Step 2: Convert to fraction form
    3,022.42/4,170.99 = 1,696.42/x
  3. Step 3: Cross multiply
    3,022.42x = 4,170.99 × 1,696.42
  4. Step 4: Simplify right side
    3,022.42x = 7,075,750.86
  5. Step 5: Solve for x
    x = 7,075,750.86/3,022.42
  6. Step 6: Final answer
    x = 2,341.09

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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.