Home / 2,424.24-3,636.70-780.23

Finding the Fourth Proportional to 2,424.24, 3,636.70 and 780.23

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Solution

The fourth proportional to 2,424.24, 3,636.70 and 780.23 is: 1,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.24 : 3,636.70 = 780.23 : x
  2. Step 2: Convert to fraction form
    2,424.24/3,636.70 = 780.23/x
  3. Step 3: Cross multiply
    2,424.24x = 3,636.70 × 780.23
  4. Step 4: Simplify right side
    2,424.24x = 2,837,469.58
  5. Step 5: Solve for x
    x = 2,837,469.58/2,424.24
  6. Step 6: Final answer
    x = 1,170.46

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1.5x scale

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.