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Finding the Fourth Proportional to 2,509.24, 3,764.22 and 949.82

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Solution

The fourth proportional to 2,509.24, 3,764.22 and 949.82 is: 1,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.24 : 3,764.22 = 949.82 : x
  2. Step 2: Convert to fraction form
    2,509.24/3,764.22 = 949.82/x
  3. Step 3: Cross multiply
    2,509.24x = 3,764.22 × 949.82
  4. Step 4: Simplify right side
    2,509.24x = 3,575,312.62
  5. Step 5: Solve for x
    x = 3,575,312.62/2,509.24
  6. Step 6: Final answer
    x = 1,424.86

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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.