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Finding the Fourth Proportional to 3,045, 4,567.73 and 2,228.43

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Solution

The fourth proportional to 3,045, 4,567.73 and 2,228.43 is: 3,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045 : 4,567.73 = 2,228.43 : x
  2. Step 2: Convert to fraction form
    3,045/4,567.73 = 2,228.43/x
  3. Step 3: Cross multiply
    3,045x = 4,567.73 × 2,228.43
  4. Step 4: Simplify right side
    3,045x = 10,178,855.42
  5. Step 5: Solve for x
    x = 10,178,855.42/3,045
  6. Step 6: Final answer
    x = 3,342.81

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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.