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Finding the Fourth Proportional to 4,768.56, 7,152.84 and 1,305.84

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Solution

The fourth proportional to 4,768.56, 7,152.84 and 1,305.84 is: 1,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.56 : 7,152.84 = 1,305.84 : x
  2. Step 2: Convert to fraction form
    4,768.56/7,152.84 = 1,305.84/x
  3. Step 3: Cross multiply
    4,768.56x = 7,152.84 × 1,305.84
  4. Step 4: Simplify right side
    4,768.56x = 9,340,464.59
  5. Step 5: Solve for x
    x = 9,340,464.59/4,768.56
  6. Step 6: Final answer
    x = 1,958.76

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Similar ratio
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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.