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Finding the Fourth Proportional to 2,449.35, 3,664.65 and 1,409.85

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Solution

The fourth proportional to 2,449.35, 3,664.65 and 1,409.85 is: 2,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.35 : 3,664.65 = 1,409.85 : x
  2. Step 2: Convert to fraction form
    2,449.35/3,664.65 = 1,409.85/x
  3. Step 3: Cross multiply
    2,449.35x = 3,664.65 × 1,409.85
  4. Step 4: Simplify right side
    2,449.35x = 5,166,606.80
  5. Step 5: Solve for x
    x = 5,166,606.80/2,449.35
  6. Step 6: Final answer
    x = 2,109.38

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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.