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Finding the Fourth Proportional to 3,109.60, 4,660.26 and 1,159.84

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Solution

The fourth proportional to 3,109.60, 4,660.26 and 1,159.84 is: 1,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.60 : 4,660.26 = 1,159.84 : x
  2. Step 2: Convert to fraction form
    3,109.60/4,660.26 = 1,159.84/x
  3. Step 3: Cross multiply
    3,109.60x = 4,660.26 × 1,159.84
  4. Step 4: Simplify right side
    3,109.60x = 5,405,155.96
  5. Step 5: Solve for x
    x = 5,405,155.96/3,109.60
  6. Step 6: Final answer
    x = 1,738.22

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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.