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Finding the Fourth Proportional to 2,359.12, 3,538.68 and 799.12

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Solution

The fourth proportional to 2,359.12, 3,538.68 and 799.12 is: 1,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.12 : 3,538.68 = 799.12 : x
  2. Step 2: Convert to fraction form
    2,359.12/3,538.68 = 799.12/x
  3. Step 3: Cross multiply
    2,359.12x = 3,538.68 × 799.12
  4. Step 4: Simplify right side
    2,359.12x = 2,827,829.96
  5. Step 5: Solve for x
    x = 2,827,829.96/2,359.12
  6. Step 6: Final answer
    x = 1,198.68

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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.