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Finding the Fourth Proportional to 2,510.27, 3,757.50 and 1,725.68

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Solution

The fourth proportional to 2,510.27, 3,757.50 and 1,725.68 is: 2,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.27 : 3,757.50 = 1,725.68 : x
  2. Step 2: Convert to fraction form
    2,510.27/3,757.50 = 1,725.68/x
  3. Step 3: Cross multiply
    2,510.27x = 3,757.50 × 1,725.68
  4. Step 4: Simplify right side
    2,510.27x = 6,484,242.60
  5. Step 5: Solve for x
    x = 6,484,242.60/2,510.27
  6. Step 6: Final answer
    x = 2,583.09

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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.