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Finding the Fourth Proportional to 1,539.24, 2,308.92 and 673.56

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Solution

The fourth proportional to 1,539.24, 2,308.92 and 673.56 is: 1,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.24 : 2,308.92 = 673.56 : x
  2. Step 2: Convert to fraction form
    1,539.24/2,308.92 = 673.56/x
  3. Step 3: Cross multiply
    1,539.24x = 2,308.92 × 673.56
  4. Step 4: Simplify right side
    1,539.24x = 1,555,196.16
  5. Step 5: Solve for x
    x = 1,555,196.16/1,539.24
  6. Step 6: Final answer
    x = 1,010.37

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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.