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Finding the Fourth Proportional to 2,507.45, 3,759.27 and 1,520.06

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Solution

The fourth proportional to 2,507.45, 3,759.27 and 1,520.06 is: 2,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.45 : 3,759.27 = 1,520.06 : x
  2. Step 2: Convert to fraction form
    2,507.45/3,759.27 = 1,520.06/x
  3. Step 3: Cross multiply
    2,507.45x = 3,759.27 × 1,520.06
  4. Step 4: Simplify right side
    2,507.45x = 5,714,315.96
  5. Step 5: Solve for x
    x = 5,714,315.96/2,507.45
  6. Step 6: Final answer
    x = 2,278.94

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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.