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Finding the Fourth Proportional to 2,340.99, 3,511.49 and 609.62

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Solution

The fourth proportional to 2,340.99, 3,511.49 and 609.62 is: 914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.99 : 3,511.49 = 609.62 : x
  2. Step 2: Convert to fraction form
    2,340.99/3,511.49 = 609.62/x
  3. Step 3: Cross multiply
    2,340.99x = 3,511.49 × 609.62
  4. Step 4: Simplify right side
    2,340.99x = 2,140,653.93
  5. Step 5: Solve for x
    x = 2,140,653.93/2,340.99
  6. Step 6: Final answer
    x = 914.42

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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.