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Finding the Fourth Proportional to 3,604.91, 5,404.81 and 1,602.50

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Solution

The fourth proportional to 3,604.91, 5,404.81 and 1,602.50 is: 2,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.91 : 5,404.81 = 1,602.50 : x
  2. Step 2: Convert to fraction form
    3,604.91/5,404.81 = 1,602.50/x
  3. Step 3: Cross multiply
    3,604.91x = 5,404.81 × 1,602.50
  4. Step 4: Simplify right side
    3,604.91x = 8,661,233.20
  5. Step 5: Solve for x
    x = 8,661,233.20/3,604.91
  6. Step 6: Final answer
    x = 2,402.62

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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.