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Finding the Fourth Proportional to 1,611.80, 2,263 and 1,611.80

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Solution

The fourth proportional to 1,611.80, 2,263 and 1,611.80 is: 2,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.80 : 2,263 = 1,611.80 : x
  2. Step 2: Convert to fraction form
    1,611.80/2,263 = 1,611.80/x
  3. Step 3: Cross multiply
    1,611.80x = 2,263 × 1,611.80
  4. Step 4: Simplify right side
    1,611.80x = 3,647,503.40
  5. Step 5: Solve for x
    x = 3,647,503.40/1,611.80
  6. Step 6: Final answer
    x = 2,263

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.