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Finding the Fourth Proportional to 2,453.56, 3,702.61 and 2,380.60

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Solution

The fourth proportional to 2,453.56, 3,702.61 and 2,380.60 is: 3,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.56 : 3,702.61 = 2,380.60 : x
  2. Step 2: Convert to fraction form
    2,453.56/3,702.61 = 2,380.60/x
  3. Step 3: Cross multiply
    2,453.56x = 3,702.61 × 2,380.60
  4. Step 4: Simplify right side
    2,453.56x = 8,814,433.37
  5. Step 5: Solve for x
    x = 8,814,433.37/2,453.56
  6. Step 6: Final answer
    x = 3,592.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.