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Finding the Fourth Proportional to 2,453.58, 3,659.64 and 2,084.22

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Solution

The fourth proportional to 2,453.58, 3,659.64 and 2,084.22 is: 3,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.58 : 3,659.64 = 2,084.22 : x
  2. Step 2: Convert to fraction form
    2,453.58/3,659.64 = 2,084.22/x
  3. Step 3: Cross multiply
    2,453.58x = 3,659.64 × 2,084.22
  4. Step 4: Simplify right side
    2,453.58x = 7,627,494.88
  5. Step 5: Solve for x
    x = 7,627,494.88/2,453.58
  6. Step 6: Final answer
    x = 3,108.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.