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Finding the Fourth Proportional to 2,883.80, 3,977.16 and 2,253.36

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Solution

The fourth proportional to 2,883.80, 3,977.16 and 2,253.36 is: 3,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.80 : 3,977.16 = 2,253.36 : x
  2. Step 2: Convert to fraction form
    2,883.80/3,977.16 = 2,253.36/x
  3. Step 3: Cross multiply
    2,883.80x = 3,977.16 × 2,253.36
  4. Step 4: Simplify right side
    2,883.80x = 8,961,973.26
  5. Step 5: Solve for x
    x = 8,961,973.26/2,883.80
  6. Step 6: Final answer
    x = 3,107.70

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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.