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Finding the Fourth Proportional to 3,200.96, 4,802.16 and 892.64

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Solution

The fourth proportional to 3,200.96, 4,802.16 and 892.64 is: 1,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.96 : 4,802.16 = 892.64 : x
  2. Step 2: Convert to fraction form
    3,200.96/4,802.16 = 892.64/x
  3. Step 3: Cross multiply
    3,200.96x = 4,802.16 × 892.64
  4. Step 4: Simplify right side
    3,200.96x = 4,286,600.10
  5. Step 5: Solve for x
    x = 4,286,600.10/3,200.96
  6. Step 6: Final answer
    x = 1,339.16

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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.