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Finding the Fourth Proportional to 2,339.69, 3,509.46 and 1,992.20

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Solution

The fourth proportional to 2,339.69, 3,509.46 and 1,992.20 is: 2,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.69 : 3,509.46 = 1,992.20 : x
  2. Step 2: Convert to fraction form
    2,339.69/3,509.46 = 1,992.20/x
  3. Step 3: Cross multiply
    2,339.69x = 3,509.46 × 1,992.20
  4. Step 4: Simplify right side
    2,339.69x = 6,991,528.66
  5. Step 5: Solve for x
    x = 6,991,528.66/2,339.69
  6. Step 6: Final answer
    x = 2,988.24

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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.