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Finding the Fourth Proportional to 2,145.90, 3,219.22 and 829.60

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Solution

The fourth proportional to 2,145.90, 3,219.22 and 829.60 is: 1,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.90 : 3,219.22 = 829.60 : x
  2. Step 2: Convert to fraction form
    2,145.90/3,219.22 = 829.60/x
  3. Step 3: Cross multiply
    2,145.90x = 3,219.22 × 829.60
  4. Step 4: Simplify right side
    2,145.90x = 2,670,664.91
  5. Step 5: Solve for x
    x = 2,670,664.91/2,145.90
  6. Step 6: Final answer
    x = 1,244.54

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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.