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Finding the Fourth Proportional to 1,674.54, 2,508.10 and 1,633.24

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Solution

The fourth proportional to 1,674.54, 2,508.10 and 1,633.24 is: 2,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.54 : 2,508.10 = 1,633.24 : x
  2. Step 2: Convert to fraction form
    1,674.54/2,508.10 = 1,633.24/x
  3. Step 3: Cross multiply
    1,674.54x = 2,508.10 × 1,633.24
  4. Step 4: Simplify right side
    1,674.54x = 4,096,329.24
  5. Step 5: Solve for x
    x = 4,096,329.24/1,674.54
  6. Step 6: Final answer
    x = 2,446.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.