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Finding the Fourth Proportional to 2,673.99, 4,011.75 and 919.23

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Solution

The fourth proportional to 2,673.99, 4,011.75 and 919.23 is: 1,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.99 : 4,011.75 = 919.23 : x
  2. Step 2: Convert to fraction form
    2,673.99/4,011.75 = 919.23/x
  3. Step 3: Cross multiply
    2,673.99x = 4,011.75 × 919.23
  4. Step 4: Simplify right side
    2,673.99x = 3,687,720.95
  5. Step 5: Solve for x
    x = 3,687,720.95/2,673.99
  6. Step 6: Final answer
    x = 1,379.11

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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.