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Finding the Fourth Proportional to 2,975.64, 4,462.32 and 1,027.32

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Solution

The fourth proportional to 2,975.64, 4,462.32 and 1,027.32 is: 1,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.64 : 4,462.32 = 1,027.32 : x
  2. Step 2: Convert to fraction form
    2,975.64/4,462.32 = 1,027.32/x
  3. Step 3: Cross multiply
    2,975.64x = 4,462.32 × 1,027.32
  4. Step 4: Simplify right side
    2,975.64x = 4,584,230.58
  5. Step 5: Solve for x
    x = 4,584,230.58/2,975.64
  6. Step 6: Final answer
    x = 1,540.59

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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.