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Finding the Fourth Proportional to 2,911.64, 4,367.64 and 1,753.88

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Solution

The fourth proportional to 2,911.64, 4,367.64 and 1,753.88 is: 2,630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.64 : 4,367.64 = 1,753.88 : x
  2. Step 2: Convert to fraction form
    2,911.64/4,367.64 = 1,753.88/x
  3. Step 3: Cross multiply
    2,911.64x = 4,367.64 × 1,753.88
  4. Step 4: Simplify right side
    2,911.64x = 7,660,316.44
  5. Step 5: Solve for x
    x = 7,660,316.44/2,911.64
  6. Step 6: Final answer
    x = 2,630.93

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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.