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Finding the Fourth Proportional to 2,513.87, 3,467.72 and 1,580.75

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Solution

The fourth proportional to 2,513.87, 3,467.72 and 1,580.75 is: 2,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.87 : 3,467.72 = 1,580.75 : x
  2. Step 2: Convert to fraction form
    2,513.87/3,467.72 = 1,580.75/x
  3. Step 3: Cross multiply
    2,513.87x = 3,467.72 × 1,580.75
  4. Step 4: Simplify right side
    2,513.87x = 5,481,590.49
  5. Step 5: Solve for x
    x = 5,481,590.49/2,513.87
  6. Step 6: Final answer
    x = 2,180.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.