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Finding the Fourth Proportional to 1,636.70, 2,455.16 and 541.83

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Solution

The fourth proportional to 1,636.70, 2,455.16 and 541.83 is: 812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.70 : 2,455.16 = 541.83 : x
  2. Step 2: Convert to fraction form
    1,636.70/2,455.16 = 541.83/x
  3. Step 3: Cross multiply
    1,636.70x = 2,455.16 × 541.83
  4. Step 4: Simplify right side
    1,636.70x = 1,330,280.70
  5. Step 5: Solve for x
    x = 1,330,280.70/1,636.70
  6. Step 6: Final answer
    x = 812.78

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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.