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Finding the Fourth Proportional to 2,578.56, 3,558.31 and 1,399.60

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Solution

The fourth proportional to 2,578.56, 3,558.31 and 1,399.60 is: 1,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.56 : 3,558.31 = 1,399.60 : x
  2. Step 2: Convert to fraction form
    2,578.56/3,558.31 = 1,399.60/x
  3. Step 3: Cross multiply
    2,578.56x = 3,558.31 × 1,399.60
  4. Step 4: Simplify right side
    2,578.56x = 4,980,210.68
  5. Step 5: Solve for x
    x = 4,980,210.68/2,578.56
  6. Step 6: Final answer
    x = 1,931.39

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Why These Related Problems?

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