Home / 2,882.96-3,977.84-1,704

Finding the Fourth Proportional to 2,882.96, 3,977.84 and 1,704

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Solution

The fourth proportional to 2,882.96, 3,977.84 and 1,704 is: 2,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.96 : 3,977.84 = 1,704 : x
  2. Step 2: Convert to fraction form
    2,882.96/3,977.84 = 1,704/x
  3. Step 3: Cross multiply
    2,882.96x = 3,977.84 × 1,704
  4. Step 4: Simplify right side
    2,882.96x = 6,778,239.36
  5. Step 5: Solve for x
    x = 6,778,239.36/2,882.96
  6. Step 6: Final answer
    x = 2,351.14

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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.