Home / 1,829.58-2,743.83-675.42

Finding the Fourth Proportional to 1,829.58, 2,743.83 and 675.42

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Solution

The fourth proportional to 1,829.58, 2,743.83 and 675.42 is: 1,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.58 : 2,743.83 = 675.42 : x
  2. Step 2: Convert to fraction form
    1,829.58/2,743.83 = 675.42/x
  3. Step 3: Cross multiply
    1,829.58x = 2,743.83 × 675.42
  4. Step 4: Simplify right side
    1,829.58x = 1,853,237.66
  5. Step 5: Solve for x
    x = 1,853,237.66/1,829.58
  6. Step 6: Final answer
    x = 1,012.93

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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.