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Finding the Fourth Proportional to 2,683.44, 4,023.68 and 927.50

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Solution

The fourth proportional to 2,683.44, 4,023.68 and 927.50 is: 1,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.44 : 4,023.68 = 927.50 : x
  2. Step 2: Convert to fraction form
    2,683.44/4,023.68 = 927.50/x
  3. Step 3: Cross multiply
    2,683.44x = 4,023.68 × 927.50
  4. Step 4: Simplify right side
    2,683.44x = 3,731,938.44
  5. Step 5: Solve for x
    x = 3,731,938.44/2,683.44
  6. Step 6: Final answer
    x = 1,390.73

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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.