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Finding the Fourth Proportional to 1,836.12, 2,754.19 and 449.47

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Solution

The fourth proportional to 1,836.12, 2,754.19 and 449.47 is: 674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.12 : 2,754.19 = 449.47 : x
  2. Step 2: Convert to fraction form
    1,836.12/2,754.19 = 449.47/x
  3. Step 3: Cross multiply
    1,836.12x = 2,754.19 × 449.47
  4. Step 4: Simplify right side
    1,836.12x = 1,237,925.78
  5. Step 5: Solve for x
    x = 1,237,925.78/1,836.12
  6. Step 6: Final answer
    x = 674.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.