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Finding the Fourth Proportional to 2,180, 3,008.32 and 1,185.25

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Solution

The fourth proportional to 2,180, 3,008.32 and 1,185.25 is: 1,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180 : 3,008.32 = 1,185.25 : x
  2. Step 2: Convert to fraction form
    2,180/3,008.32 = 1,185.25/x
  3. Step 3: Cross multiply
    2,180x = 3,008.32 × 1,185.25
  4. Step 4: Simplify right side
    2,180x = 3,565,611.28
  5. Step 5: Solve for x
    x = 3,565,611.28/2,180
  6. Step 6: Final answer
    x = 1,635.60

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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.