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Finding the Fourth Proportional to 2,574.57, 3,861.80 and 2,506.23

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Solution

The fourth proportional to 2,574.57, 3,861.80 and 2,506.23 is: 3,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.57 : 3,861.80 = 2,506.23 : x
  2. Step 2: Convert to fraction form
    2,574.57/3,861.80 = 2,506.23/x
  3. Step 3: Cross multiply
    2,574.57x = 3,861.80 × 2,506.23
  4. Step 4: Simplify right side
    2,574.57x = 9,678,546.48
  5. Step 5: Solve for x
    x = 9,678,546.48/2,574.57
  6. Step 6: Final answer
    x = 3,759.29

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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.