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Finding the Fourth Proportional to 2,405.60, 3,609.24 and 1,106

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Solution

The fourth proportional to 2,405.60, 3,609.24 and 1,106 is: 1,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.60 : 3,609.24 = 1,106 : x
  2. Step 2: Convert to fraction form
    2,405.60/3,609.24 = 1,106/x
  3. Step 3: Cross multiply
    2,405.60x = 3,609.24 × 1,106
  4. Step 4: Simplify right side
    2,405.60x = 3,991,819.44
  5. Step 5: Solve for x
    x = 3,991,819.44/2,405.60
  6. Step 6: Final answer
    x = 1,659.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.