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Finding the Fourth Proportional to 1,649.67, 2,458.34 and 1,604.57

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Solution

The fourth proportional to 1,649.67, 2,458.34 and 1,604.57 is: 2,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.67 : 2,458.34 = 1,604.57 : x
  2. Step 2: Convert to fraction form
    1,649.67/2,458.34 = 1,604.57/x
  3. Step 3: Cross multiply
    1,649.67x = 2,458.34 × 1,604.57
  4. Step 4: Simplify right side
    1,649.67x = 3,944,558.30
  5. Step 5: Solve for x
    x = 3,944,558.30/1,649.67
  6. Step 6: Final answer
    x = 2,391.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.