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Finding the Fourth Proportional to 2,464.63, 3,399.27 and 1,580.51

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Solution

The fourth proportional to 2,464.63, 3,399.27 and 1,580.51 is: 2,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.63 : 3,399.27 = 1,580.51 : x
  2. Step 2: Convert to fraction form
    2,464.63/3,399.27 = 1,580.51/x
  3. Step 3: Cross multiply
    2,464.63x = 3,399.27 × 1,580.51
  4. Step 4: Simplify right side
    2,464.63x = 5,372,582.80
  5. Step 5: Solve for x
    x = 5,372,582.80/2,464.63
  6. Step 6: Final answer
    x = 2,179.88

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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.