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Finding the Fourth Proportional to 1,539.81, 2,310.93 and 1,234.44

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Solution

The fourth proportional to 1,539.81, 2,310.93 and 1,234.44 is: 1,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.81 : 2,310.93 = 1,234.44 : x
  2. Step 2: Convert to fraction form
    1,539.81/2,310.93 = 1,234.44/x
  3. Step 3: Cross multiply
    1,539.81x = 2,310.93 × 1,234.44
  4. Step 4: Simplify right side
    1,539.81x = 2,852,704.43
  5. Step 5: Solve for x
    x = 2,852,704.43/1,539.81
  6. Step 6: Final answer
    x = 1,852.63

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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.