Home / 1,650.54-2,474.28-828.36

Finding the Fourth Proportional to 1,650.54, 2,474.28 and 828.36

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Solution

The fourth proportional to 1,650.54, 2,474.28 and 828.36 is: 1,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.54 : 2,474.28 = 828.36 : x
  2. Step 2: Convert to fraction form
    1,650.54/2,474.28 = 828.36/x
  3. Step 3: Cross multiply
    1,650.54x = 2,474.28 × 828.36
  4. Step 4: Simplify right side
    1,650.54x = 2,049,594.58
  5. Step 5: Solve for x
    x = 2,049,594.58/1,650.54
  6. Step 6: Final answer
    x = 1,241.77

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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.