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Finding the Fourth Proportional to 2,407.42, 3,611.73 and 1,109.80

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Solution

The fourth proportional to 2,407.42, 3,611.73 and 1,109.80 is: 1,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.42 : 3,611.73 = 1,109.80 : x
  2. Step 2: Convert to fraction form
    2,407.42/3,611.73 = 1,109.80/x
  3. Step 3: Cross multiply
    2,407.42x = 3,611.73 × 1,109.80
  4. Step 4: Simplify right side
    2,407.42x = 4,008,279.90
  5. Step 5: Solve for x
    x = 4,008,279.90/2,407.42
  6. Step 6: Final answer
    x = 1,664.97

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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.