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Finding the Fourth Proportional to 2,344.96, 3,516.42 and 2,116.01

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Solution

The fourth proportional to 2,344.96, 3,516.42 and 2,116.01 is: 3,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.96 : 3,516.42 = 2,116.01 : x
  2. Step 2: Convert to fraction form
    2,344.96/3,516.42 = 2,116.01/x
  3. Step 3: Cross multiply
    2,344.96x = 3,516.42 × 2,116.01
  4. Step 4: Simplify right side
    2,344.96x = 7,440,779.88
  5. Step 5: Solve for x
    x = 7,440,779.88/2,344.96
  6. Step 6: Final answer
    x = 3,173.09

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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.