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Finding the Fourth Proportional to 2,507.70, 3,757.26 and 1,206.42

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Solution

The fourth proportional to 2,507.70, 3,757.26 and 1,206.42 is: 1,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.70 : 3,757.26 = 1,206.42 : x
  2. Step 2: Convert to fraction form
    2,507.70/3,757.26 = 1,206.42/x
  3. Step 3: Cross multiply
    2,507.70x = 3,757.26 × 1,206.42
  4. Step 4: Simplify right side
    2,507.70x = 4,532,833.61
  5. Step 5: Solve for x
    x = 4,532,833.61/2,507.70
  6. Step 6: Final answer
    x = 1,807.57

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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.