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Finding the Fourth Proportional to 3,180.34, 4,772.04 and 1,641.34

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Solution

The fourth proportional to 3,180.34, 4,772.04 and 1,641.34 is: 2,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.34 : 4,772.04 = 1,641.34 : x
  2. Step 2: Convert to fraction form
    3,180.34/4,772.04 = 1,641.34/x
  3. Step 3: Cross multiply
    3,180.34x = 4,772.04 × 1,641.34
  4. Step 4: Simplify right side
    3,180.34x = 7,832,540.13
  5. Step 5: Solve for x
    x = 7,832,540.13/3,180.34
  6. Step 6: Final answer
    x = 2,462.80

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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.