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Finding the Fourth Proportional to 1,743.05, 2,611.47 and 919.49

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Solution

The fourth proportional to 1,743.05, 2,611.47 and 919.49 is: 1,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.05 : 2,611.47 = 919.49 : x
  2. Step 2: Convert to fraction form
    1,743.05/2,611.47 = 919.49/x
  3. Step 3: Cross multiply
    1,743.05x = 2,611.47 × 919.49
  4. Step 4: Simplify right side
    1,743.05x = 2,401,207.49
  5. Step 5: Solve for x
    x = 2,401,207.49/1,743.05
  6. Step 6: Final answer
    x = 1,377.59

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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.