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Finding the Fourth Proportional to 2,797.84, 3,859.80 and 1,958.68

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Solution

The fourth proportional to 2,797.84, 3,859.80 and 1,958.68 is: 2,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.84 : 3,859.80 = 1,958.68 : x
  2. Step 2: Convert to fraction form
    2,797.84/3,859.80 = 1,958.68/x
  3. Step 3: Cross multiply
    2,797.84x = 3,859.80 × 1,958.68
  4. Step 4: Simplify right side
    2,797.84x = 7,560,113.06
  5. Step 5: Solve for x
    x = 7,560,113.06/2,797.84
  6. Step 6: Final answer
    x = 2,702.12

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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.