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Finding the Fourth Proportional to 2,464.44, 3,695.16 and 1,077

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Solution

The fourth proportional to 2,464.44, 3,695.16 and 1,077 is: 1,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.44 : 3,695.16 = 1,077 : x
  2. Step 2: Convert to fraction form
    2,464.44/3,695.16 = 1,077/x
  3. Step 3: Cross multiply
    2,464.44x = 3,695.16 × 1,077
  4. Step 4: Simplify right side
    2,464.44x = 3,979,687.32
  5. Step 5: Solve for x
    x = 3,979,687.32/2,464.44
  6. Step 6: Final answer
    x = 1,614.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.