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Finding the Fourth Proportional to 2,402.89, 3,604.94 and 671.50

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Solution

The fourth proportional to 2,402.89, 3,604.94 and 671.50 is: 1,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.89 : 3,604.94 = 671.50 : x
  2. Step 2: Convert to fraction form
    2,402.89/3,604.94 = 671.50/x
  3. Step 3: Cross multiply
    2,402.89x = 3,604.94 × 671.50
  4. Step 4: Simplify right side
    2,402.89x = 2,420,713.85
  5. Step 5: Solve for x
    x = 2,420,713.85/2,402.89
  6. Step 6: Final answer
    x = 1,007.42

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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.