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Finding the Fourth Proportional to 2,180.61, 3,009.17 and 1,284.44

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Solution

The fourth proportional to 2,180.61, 3,009.17 and 1,284.44 is: 1,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.61 : 3,009.17 = 1,284.44 : x
  2. Step 2: Convert to fraction form
    2,180.61/3,009.17 = 1,284.44/x
  3. Step 3: Cross multiply
    2,180.61x = 3,009.17 × 1,284.44
  4. Step 4: Simplify right side
    2,180.61x = 3,865,086.48
  5. Step 5: Solve for x
    x = 3,865,086.48/2,180.61
  6. Step 6: Final answer
    x = 1,772.48

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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.