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Finding the Fourth Proportional to 1,649.69, 2,276.55 and 941.55

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Solution

The fourth proportional to 1,649.69, 2,276.55 and 941.55 is: 1,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.69 : 2,276.55 = 941.55 : x
  2. Step 2: Convert to fraction form
    1,649.69/2,276.55 = 941.55/x
  3. Step 3: Cross multiply
    1,649.69x = 2,276.55 × 941.55
  4. Step 4: Simplify right side
    1,649.69x = 2,143,485.65
  5. Step 5: Solve for x
    x = 2,143,485.65/1,649.69
  6. Step 6: Final answer
    x = 1,299.33

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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.