Home / 2,904.24-4,007.80-1,577.96

Finding the Fourth Proportional to 2,904.24, 4,007.80 and 1,577.96

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Solution

The fourth proportional to 2,904.24, 4,007.80 and 1,577.96 is: 2,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.24 : 4,007.80 = 1,577.96 : x
  2. Step 2: Convert to fraction form
    2,904.24/4,007.80 = 1,577.96/x
  3. Step 3: Cross multiply
    2,904.24x = 4,007.80 × 1,577.96
  4. Step 4: Simplify right side
    2,904.24x = 6,324,148.09
  5. Step 5: Solve for x
    x = 6,324,148.09/2,904.24
  6. Step 6: Final answer
    x = 2,177.56

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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.