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Finding the Fourth Proportional to 3,180.80, 4,389.06 and 1,836.80

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Solution

The fourth proportional to 3,180.80, 4,389.06 and 1,836.80 is: 2,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.80 : 4,389.06 = 1,836.80 : x
  2. Step 2: Convert to fraction form
    3,180.80/4,389.06 = 1,836.80/x
  3. Step 3: Cross multiply
    3,180.80x = 4,389.06 × 1,836.80
  4. Step 4: Simplify right side
    3,180.80x = 8,061,825.41
  5. Step 5: Solve for x
    x = 8,061,825.41/3,180.80
  6. Step 6: Final answer
    x = 2,534.53

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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.