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Finding the Fourth Proportional to 2,180.00, 3,008.42 and 1,185.28

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Solution

The fourth proportional to 2,180.00, 3,008.42 and 1,185.28 is: 1,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.00 : 3,008.42 = 1,185.28 : x
  2. Step 2: Convert to fraction form
    2,180.00/3,008.42 = 1,185.28/x
  3. Step 3: Cross multiply
    2,180.00x = 3,008.42 × 1,185.28
  4. Step 4: Simplify right side
    2,180.00x = 3,565,806.61
  5. Step 5: Solve for x
    x = 3,565,806.61/2,180.00
  6. Step 6: Final answer
    x = 1,635.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.