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Finding the Fourth Proportional to 2,402.96, 3,604.48 and 671.60

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Solution

The fourth proportional to 2,402.96, 3,604.48 and 671.60 is: 1,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.96 : 3,604.48 = 671.60 : x
  2. Step 2: Convert to fraction form
    2,402.96/3,604.48 = 671.60/x
  3. Step 3: Cross multiply
    2,402.96x = 3,604.48 × 671.60
  4. Step 4: Simplify right side
    2,402.96x = 2,420,768.77
  5. Step 5: Solve for x
    x = 2,420,768.77/2,402.96
  6. Step 6: Final answer
    x = 1,007.41

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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.