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Finding the Fourth Proportional to 2,464.33, 3,699.03 and 1,922.44

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Solution

The fourth proportional to 2,464.33, 3,699.03 and 1,922.44 is: 2,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.33 : 3,699.03 = 1,922.44 : x
  2. Step 2: Convert to fraction form
    2,464.33/3,699.03 = 1,922.44/x
  3. Step 3: Cross multiply
    2,464.33x = 3,699.03 × 1,922.44
  4. Step 4: Simplify right side
    2,464.33x = 7,111,163.23
  5. Step 5: Solve for x
    x = 7,111,163.23/2,464.33
  6. Step 6: Final answer
    x = 2,885.64

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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.