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Finding the Fourth Proportional to 3,103.64, 4,655.04 and 911.96

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Solution

The fourth proportional to 3,103.64, 4,655.04 and 911.96 is: 1,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.64 : 4,655.04 = 911.96 : x
  2. Step 2: Convert to fraction form
    3,103.64/4,655.04 = 911.96/x
  3. Step 3: Cross multiply
    3,103.64x = 4,655.04 × 911.96
  4. Step 4: Simplify right side
    3,103.64x = 4,245,210.28
  5. Step 5: Solve for x
    x = 4,245,210.28/3,103.64
  6. Step 6: Final answer
    x = 1,367.82

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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.