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Finding the Fourth Proportional to 2,883.60, 3,977.24 and 2,486

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Solution

The fourth proportional to 2,883.60, 3,977.24 and 2,486 is: 3,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.60 : 3,977.24 = 2,486 : x
  2. Step 2: Convert to fraction form
    2,883.60/3,977.24 = 2,486/x
  3. Step 3: Cross multiply
    2,883.60x = 3,977.24 × 2,486
  4. Step 4: Simplify right side
    2,883.60x = 9,887,418.64
  5. Step 5: Solve for x
    x = 9,887,418.64/2,883.60
  6. Step 6: Final answer
    x = 3,428.85

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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.