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Finding the Fourth Proportional to 1,857.94, 2,562.84 and 1,228.48

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Solution

The fourth proportional to 1,857.94, 2,562.84 and 1,228.48 is: 1,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.94 : 2,562.84 = 1,228.48 : x
  2. Step 2: Convert to fraction form
    1,857.94/2,562.84 = 1,228.48/x
  3. Step 3: Cross multiply
    1,857.94x = 2,562.84 × 1,228.48
  4. Step 4: Simplify right side
    1,857.94x = 3,148,397.68
  5. Step 5: Solve for x
    x = 3,148,397.68/1,857.94
  6. Step 6: Final answer
    x = 1,694.56

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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.