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Finding the Fourth Proportional to 1,674.02, 2,511.17 and 441.42

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Solution

The fourth proportional to 1,674.02, 2,511.17 and 441.42 is: 662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.02 : 2,511.17 = 441.42 : x
  2. Step 2: Convert to fraction form
    1,674.02/2,511.17 = 441.42/x
  3. Step 3: Cross multiply
    1,674.02x = 2,511.17 × 441.42
  4. Step 4: Simplify right side
    1,674.02x = 1,108,478.45
  5. Step 5: Solve for x
    x = 1,108,478.45/1,674.02
  6. Step 6: Final answer
    x = 662.17

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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.