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Finding the Fourth Proportional to 2,797.28, 3,859.27 and 1,678.57

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Solution

The fourth proportional to 2,797.28, 3,859.27 and 1,678.57 is: 2,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.28 : 3,859.27 = 1,678.57 : x
  2. Step 2: Convert to fraction form
    2,797.28/3,859.27 = 1,678.57/x
  3. Step 3: Cross multiply
    2,797.28x = 3,859.27 × 1,678.57
  4. Step 4: Simplify right side
    2,797.28x = 6,478,054.84
  5. Step 5: Solve for x
    x = 6,478,054.84/2,797.28
  6. Step 6: Final answer
    x = 2,315.84

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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.