Home / 1,829.48-2,744.58-675.24

Finding the Fourth Proportional to 1,829.48, 2,744.58 and 675.24

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Solution

The fourth proportional to 1,829.48, 2,744.58 and 675.24 is: 1,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.48 : 2,744.58 = 675.24 : x
  2. Step 2: Convert to fraction form
    1,829.48/2,744.58 = 675.24/x
  3. Step 3: Cross multiply
    1,829.48x = 2,744.58 × 675.24
  4. Step 4: Simplify right side
    1,829.48x = 1,853,250.20
  5. Step 5: Solve for x
    x = 1,853,250.20/1,829.48
  6. Step 6: Final answer
    x = 1,012.99

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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.