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Finding the Fourth Proportional to 2,402.92, 3,604.85 and 1,016.25

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Solution

The fourth proportional to 2,402.92, 3,604.85 and 1,016.25 is: 1,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.92 : 3,604.85 = 1,016.25 : x
  2. Step 2: Convert to fraction form
    2,402.92/3,604.85 = 1,016.25/x
  3. Step 3: Cross multiply
    2,402.92x = 3,604.85 × 1,016.25
  4. Step 4: Simplify right side
    2,402.92x = 3,663,419.74
  5. Step 5: Solve for x
    x = 3,663,419.74/2,402.92
  6. Step 6: Final answer
    x = 1,524.57

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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.