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Finding the Fourth Proportional to 2,824.74, 4,235.67 and 949.98

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Solution

The fourth proportional to 2,824.74, 4,235.67 and 949.98 is: 1,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.74 : 4,235.67 = 949.98 : x
  2. Step 2: Convert to fraction form
    2,824.74/4,235.67 = 949.98/x
  3. Step 3: Cross multiply
    2,824.74x = 4,235.67 × 949.98
  4. Step 4: Simplify right side
    2,824.74x = 4,023,817.67
  5. Step 5: Solve for x
    x = 4,023,817.67/2,824.74
  6. Step 6: Final answer
    x = 1,424.49

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Half scale
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Double scale
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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.