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Finding the Fourth Proportional to 2,454.58, 3,682.50 and 2,016.55

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Solution

The fourth proportional to 2,454.58, 3,682.50 and 2,016.55 is: 3,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.58 : 3,682.50 = 2,016.55 : x
  2. Step 2: Convert to fraction form
    2,454.58/3,682.50 = 2,016.55/x
  3. Step 3: Cross multiply
    2,454.58x = 3,682.50 × 2,016.55
  4. Step 4: Simplify right side
    2,454.58x = 7,425,945.38
  5. Step 5: Solve for x
    x = 7,425,945.38/2,454.58
  6. Step 6: Final answer
    x = 3,025.34

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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.