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Finding the Fourth Proportional to 4,629.77, 6,944.50 and 1,855.70

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Solution

The fourth proportional to 4,629.77, 6,944.50 and 1,855.70 is: 2,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.77 : 6,944.50 = 1,855.70 : x
  2. Step 2: Convert to fraction form
    4,629.77/6,944.50 = 1,855.70/x
  3. Step 3: Cross multiply
    4,629.77x = 6,944.50 × 1,855.70
  4. Step 4: Simplify right side
    4,629.77x = 12,886,908.65
  5. Step 5: Solve for x
    x = 12,886,908.65/4,629.77
  6. Step 6: Final answer
    x = 2,783.49

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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.