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Finding the Fourth Proportional to 1,820.12, 2,511.76 and 992.12

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Solution

The fourth proportional to 1,820.12, 2,511.76 and 992.12 is: 1,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.12 : 2,511.76 = 992.12 : x
  2. Step 2: Convert to fraction form
    1,820.12/2,511.76 = 992.12/x
  3. Step 3: Cross multiply
    1,820.12x = 2,511.76 × 992.12
  4. Step 4: Simplify right side
    1,820.12x = 2,491,967.33
  5. Step 5: Solve for x
    x = 2,491,967.33/1,820.12
  6. Step 6: Final answer
    x = 1,369.12

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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.