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Finding the Fourth Proportional to 2,883, 3,977.64 and 1,763.64

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Solution

The fourth proportional to 2,883, 3,977.64 and 1,763.64 is: 2,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883 : 3,977.64 = 1,763.64 : x
  2. Step 2: Convert to fraction form
    2,883/3,977.64 = 1,763.64/x
  3. Step 3: Cross multiply
    2,883x = 3,977.64 × 1,763.64
  4. Step 4: Simplify right side
    2,883x = 7,015,125.01
  5. Step 5: Solve for x
    x = 7,015,125.01/2,883
  6. Step 6: Final answer
    x = 2,433.27

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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.