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Finding the Fourth Proportional to 2,454.87, 3,684.12 and 1,359.54

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Solution

The fourth proportional to 2,454.87, 3,684.12 and 1,359.54 is: 2,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.87 : 3,684.12 = 1,359.54 : x
  2. Step 2: Convert to fraction form
    2,454.87/3,684.12 = 1,359.54/x
  3. Step 3: Cross multiply
    2,454.87x = 3,684.12 × 1,359.54
  4. Step 4: Simplify right side
    2,454.87x = 5,008,708.50
  5. Step 5: Solve for x
    x = 5,008,708.50/2,454.87
  6. Step 6: Final answer
    x = 2,040.32

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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.