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Finding the Fourth Proportional to 2,516.57, 3,779.09 and 1,640.56

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Solution

The fourth proportional to 2,516.57, 3,779.09 and 1,640.56 is: 2,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.57 : 3,779.09 = 1,640.56 : x
  2. Step 2: Convert to fraction form
    2,516.57/3,779.09 = 1,640.56/x
  3. Step 3: Cross multiply
    2,516.57x = 3,779.09 × 1,640.56
  4. Step 4: Simplify right side
    2,516.57x = 6,199,823.89
  5. Step 5: Solve for x
    x = 6,199,823.89/2,516.57
  6. Step 6: Final answer
    x = 2,463.60

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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.