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Finding the Fourth Proportional to 2,762.97, 3,813.38 and 1,768.20

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Solution

The fourth proportional to 2,762.97, 3,813.38 and 1,768.20 is: 2,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.97 : 3,813.38 = 1,768.20 : x
  2. Step 2: Convert to fraction form
    2,762.97/3,813.38 = 1,768.20/x
  3. Step 3: Cross multiply
    2,762.97x = 3,813.38 × 1,768.20
  4. Step 4: Simplify right side
    2,762.97x = 6,742,818.52
  5. Step 5: Solve for x
    x = 6,742,818.52/2,762.97
  6. Step 6: Final answer
    x = 2,440.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.