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Finding the Fourth Proportional to 4,754.81, 7,132.69 and 1,634.40

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Solution

The fourth proportional to 4,754.81, 7,132.69 and 1,634.40 is: 2,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.81 : 7,132.69 = 1,634.40 : x
  2. Step 2: Convert to fraction form
    4,754.81/7,132.69 = 1,634.40/x
  3. Step 3: Cross multiply
    4,754.81x = 7,132.69 × 1,634.40
  4. Step 4: Simplify right side
    4,754.81x = 11,657,668.54
  5. Step 5: Solve for x
    x = 11,657,668.54/4,754.81
  6. Step 6: Final answer
    x = 2,451.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.