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Finding the Fourth Proportional to 1,540.53, 2,310.73 and 444.94

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Solution

The fourth proportional to 1,540.53, 2,310.73 and 444.94 is: 667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.53 : 2,310.73 = 444.94 : x
  2. Step 2: Convert to fraction form
    1,540.53/2,310.73 = 444.94/x
  3. Step 3: Cross multiply
    1,540.53x = 2,310.73 × 444.94
  4. Step 4: Simplify right side
    1,540.53x = 1,028,129.32
  5. Step 5: Solve for x
    x = 1,028,129.32/1,540.53
  6. Step 6: Final answer
    x = 667.39

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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.