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Finding the Fourth Proportional to 2,507.15, 3,761.17 and 1,047.33

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Solution

The fourth proportional to 2,507.15, 3,761.17 and 1,047.33 is: 1,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.15 : 3,761.17 = 1,047.33 : x
  2. Step 2: Convert to fraction form
    2,507.15/3,761.17 = 1,047.33/x
  3. Step 3: Cross multiply
    2,507.15x = 3,761.17 × 1,047.33
  4. Step 4: Simplify right side
    2,507.15x = 3,939,183.56
  5. Step 5: Solve for x
    x = 3,939,183.56/2,507.15
  6. Step 6: Final answer
    x = 1,571.18

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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.