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Finding the Fourth Proportional to 3,243, 4,476.15 and 1,846.56

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Solution

The fourth proportional to 3,243, 4,476.15 and 1,846.56 is: 2,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243 : 4,476.15 = 1,846.56 : x
  2. Step 2: Convert to fraction form
    3,243/4,476.15 = 1,846.56/x
  3. Step 3: Cross multiply
    3,243x = 4,476.15 × 1,846.56
  4. Step 4: Simplify right side
    3,243x = 8,265,479.54
  5. Step 5: Solve for x
    x = 8,265,479.54/3,243
  6. Step 6: Final answer
    x = 2,548.71

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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.