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Finding the Fourth Proportional to 2,768.97, 4,153.14 and 1,015.32

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Solution

The fourth proportional to 2,768.97, 4,153.14 and 1,015.32 is: 1,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.97 : 4,153.14 = 1,015.32 : x
  2. Step 2: Convert to fraction form
    2,768.97/4,153.14 = 1,015.32/x
  3. Step 3: Cross multiply
    2,768.97x = 4,153.14 × 1,015.32
  4. Step 4: Simplify right side
    2,768.97x = 4,216,766.10
  5. Step 5: Solve for x
    x = 4,216,766.10/2,768.97
  6. Step 6: Final answer
    x = 1,522.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.