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Finding the Fourth Proportional to 2,507.45, 3,759.08 and 1,580.72

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Solution

The fourth proportional to 2,507.45, 3,759.08 and 1,580.72 is: 2,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.45 : 3,759.08 = 1,580.72 : x
  2. Step 2: Convert to fraction form
    2,507.45/3,759.08 = 1,580.72/x
  3. Step 3: Cross multiply
    2,507.45x = 3,759.08 × 1,580.72
  4. Step 4: Simplify right side
    2,507.45x = 5,942,026.24
  5. Step 5: Solve for x
    x = 5,942,026.24/2,507.45
  6. Step 6: Final answer
    x = 2,369.75

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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.