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Finding the Fourth Proportional to 2,447.58, 3,375.34 and 1,609.00

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Solution

The fourth proportional to 2,447.58, 3,375.34 and 1,609.00 is: 2,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.58 : 3,375.34 = 1,609.00 : x
  2. Step 2: Convert to fraction form
    2,447.58/3,375.34 = 1,609.00/x
  3. Step 3: Cross multiply
    2,447.58x = 3,375.34 × 1,609.00
  4. Step 4: Simplify right side
    2,447.58x = 5,430,909.60
  5. Step 5: Solve for x
    x = 5,430,909.60/2,447.58
  6. Step 6: Final answer
    x = 2,218.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.