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Finding the Fourth Proportional to 2,884.59, 3,978.88 and 1,820.48

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Solution

The fourth proportional to 2,884.59, 3,978.88 and 1,820.48 is: 2,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.59 : 3,978.88 = 1,820.48 : x
  2. Step 2: Convert to fraction form
    2,884.59/3,978.88 = 1,820.48/x
  3. Step 3: Cross multiply
    2,884.59x = 3,978.88 × 1,820.48
  4. Step 4: Simplify right side
    2,884.59x = 7,243,451.57
  5. Step 5: Solve for x
    x = 7,243,451.57/2,884.59
  6. Step 6: Final answer
    x = 2,511.09

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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.