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Finding the Fourth Proportional to 2,977.28, 4,107.68 and 1,857.28

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Solution

The fourth proportional to 2,977.28, 4,107.68 and 1,857.28 is: 2,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.28 : 4,107.68 = 1,857.28 : x
  2. Step 2: Convert to fraction form
    2,977.28/4,107.68 = 1,857.28/x
  3. Step 3: Cross multiply
    2,977.28x = 4,107.68 × 1,857.28
  4. Step 4: Simplify right side
    2,977.28x = 7,629,111.91
  5. Step 5: Solve for x
    x = 7,629,111.91/2,977.28
  6. Step 6: Final answer
    x = 2,562.44

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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.