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Finding the Fourth Proportional to 2,846.99, 3,929.11 and 1,728.23

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Solution

The fourth proportional to 2,846.99, 3,929.11 and 1,728.23 is: 2,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.99 : 3,929.11 = 1,728.23 : x
  2. Step 2: Convert to fraction form
    2,846.99/3,929.11 = 1,728.23/x
  3. Step 3: Cross multiply
    2,846.99x = 3,929.11 × 1,728.23
  4. Step 4: Simplify right side
    2,846.99x = 6,790,381.81
  5. Step 5: Solve for x
    x = 6,790,381.81/2,846.99
  6. Step 6: Final answer
    x = 2,385.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.