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Finding the Fourth Proportional to 2,996.32, 4,492 and 1,352.32

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Solution

The fourth proportional to 2,996.32, 4,492 and 1,352.32 is: 2,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.32 : 4,492 = 1,352.32 : x
  2. Step 2: Convert to fraction form
    2,996.32/4,492 = 1,352.32/x
  3. Step 3: Cross multiply
    2,996.32x = 4,492 × 1,352.32
  4. Step 4: Simplify right side
    2,996.32x = 6,074,621.44
  5. Step 5: Solve for x
    x = 6,074,621.44/2,996.32
  6. Step 6: Final answer
    x = 2,027.36

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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.