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Finding the Fourth Proportional to 1,636.38, 2,454.33 and 540.76

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Solution

The fourth proportional to 1,636.38, 2,454.33 and 540.76 is: 811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.38 : 2,454.33 = 540.76 : x
  2. Step 2: Convert to fraction form
    1,636.38/2,454.33 = 540.76/x
  3. Step 3: Cross multiply
    1,636.38x = 2,454.33 × 540.76
  4. Step 4: Simplify right side
    1,636.38x = 1,327,203.49
  5. Step 5: Solve for x
    x = 1,327,203.49/1,636.38
  6. Step 6: Final answer
    x = 811.06

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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.