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Finding the Fourth Proportional to 2,510.44, 3,757.76 and 1,725.84

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Solution

The fourth proportional to 2,510.44, 3,757.76 and 1,725.84 is: 2,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.44 : 3,757.76 = 1,725.84 : x
  2. Step 2: Convert to fraction form
    2,510.44/3,757.76 = 1,725.84/x
  3. Step 3: Cross multiply
    2,510.44x = 3,757.76 × 1,725.84
  4. Step 4: Simplify right side
    2,510.44x = 6,485,292.52
  5. Step 5: Solve for x
    x = 6,485,292.52/2,510.44
  6. Step 6: Final answer
    x = 2,583.33

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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.