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Finding the Fourth Proportional to 2,754.46, 4,131.71 and 905.70

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Solution

The fourth proportional to 2,754.46, 4,131.71 and 905.70 is: 1,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.46 : 4,131.71 = 905.70 : x
  2. Step 2: Convert to fraction form
    2,754.46/4,131.71 = 905.70/x
  3. Step 3: Cross multiply
    2,754.46x = 4,131.71 × 905.70
  4. Step 4: Simplify right side
    2,754.46x = 3,742,089.75
  5. Step 5: Solve for x
    x = 3,742,089.75/2,754.46
  6. Step 6: Final answer
    x = 1,358.56

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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.