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Finding the Fourth Proportional to 1,975.99, 2,965.20 and 1,099.16

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Solution

The fourth proportional to 1,975.99, 2,965.20 and 1,099.16 is: 1,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.99 : 2,965.20 = 1,099.16 : x
  2. Step 2: Convert to fraction form
    1,975.99/2,965.20 = 1,099.16/x
  3. Step 3: Cross multiply
    1,975.99x = 2,965.20 × 1,099.16
  4. Step 4: Simplify right side
    1,975.99x = 3,259,223.74
  5. Step 5: Solve for x
    x = 3,259,223.74/1,975.99
  6. Step 6: Final answer
    x = 1,649.42

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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.