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Finding the Fourth Proportional to 2,301.60, 3,452.40 and 2,096.40

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Solution

The fourth proportional to 2,301.60, 3,452.40 and 2,096.40 is: 3,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.60 : 3,452.40 = 2,096.40 : x
  2. Step 2: Convert to fraction form
    2,301.60/3,452.40 = 2,096.40/x
  3. Step 3: Cross multiply
    2,301.60x = 3,452.40 × 2,096.40
  4. Step 4: Simplify right side
    2,301.60x = 7,237,611.36
  5. Step 5: Solve for x
    x = 7,237,611.36/2,301.60
  6. Step 6: Final answer
    x = 3,144.60

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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.