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Finding the Fourth Proportional to 2,679.40, 4,018.74 and 949.24

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Solution

The fourth proportional to 2,679.40, 4,018.74 and 949.24 is: 1,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.40 : 4,018.74 = 949.24 : x
  2. Step 2: Convert to fraction form
    2,679.40/4,018.74 = 949.24/x
  3. Step 3: Cross multiply
    2,679.40x = 4,018.74 × 949.24
  4. Step 4: Simplify right side
    2,679.40x = 3,814,748.76
  5. Step 5: Solve for x
    x = 3,814,748.76/2,679.40
  6. Step 6: Final answer
    x = 1,423.73

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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.