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Finding the Fourth Proportional to 1,539.59, 2,310.62 and 799.42

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Solution

The fourth proportional to 1,539.59, 2,310.62 and 799.42 is: 1,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.59 : 2,310.62 = 799.42 : x
  2. Step 2: Convert to fraction form
    1,539.59/2,310.62 = 799.42/x
  3. Step 3: Cross multiply
    1,539.59x = 2,310.62 × 799.42
  4. Step 4: Simplify right side
    1,539.59x = 1,847,146.07
  5. Step 5: Solve for x
    x = 1,847,146.07/1,539.59
  6. Step 6: Final answer
    x = 1,199.76

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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.