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Finding the Fourth Proportional to 2,764.84, 3,815.46 and 1,522.84

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Solution

The fourth proportional to 2,764.84, 3,815.46 and 1,522.84 is: 2,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.84 : 3,815.46 = 1,522.84 : x
  2. Step 2: Convert to fraction form
    2,764.84/3,815.46 = 1,522.84/x
  3. Step 3: Cross multiply
    2,764.84x = 3,815.46 × 1,522.84
  4. Step 4: Simplify right side
    2,764.84x = 5,810,335.11
  5. Step 5: Solve for x
    x = 5,810,335.11/2,764.84
  6. Step 6: Final answer
    x = 2,101.51

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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.