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Finding the Fourth Proportional to 2,579.57, 3,557.99 and 1,585.41

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Solution

The fourth proportional to 2,579.57, 3,557.99 and 1,585.41 is: 2,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.57 : 3,557.99 = 1,585.41 : x
  2. Step 2: Convert to fraction form
    2,579.57/3,557.99 = 1,585.41/x
  3. Step 3: Cross multiply
    2,579.57x = 3,557.99 × 1,585.41
  4. Step 4: Simplify right side
    2,579.57x = 5,640,865.00
  5. Step 5: Solve for x
    x = 5,640,865.00/2,579.57
  6. Step 6: Final answer
    x = 2,186.75

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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.