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Finding the Fourth Proportional to 4,944.24, 7,416.90 and 1,657.80

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Solution

The fourth proportional to 4,944.24, 7,416.90 and 1,657.80 is: 2,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.24 : 7,416.90 = 1,657.80 : x
  2. Step 2: Convert to fraction form
    4,944.24/7,416.90 = 1,657.80/x
  3. Step 3: Cross multiply
    4,944.24x = 7,416.90 × 1,657.80
  4. Step 4: Simplify right side
    4,944.24x = 12,295,736.82
  5. Step 5: Solve for x
    x = 12,295,736.82/4,944.24
  6. Step 6: Final answer
    x = 2,486.88

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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.