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Finding the Fourth Proportional to 2,004.11, 3,006.64 and 687.88

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Solution

The fourth proportional to 2,004.11, 3,006.64 and 687.88 is: 1,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.11 : 3,006.64 = 687.88 : x
  2. Step 2: Convert to fraction form
    2,004.11/3,006.64 = 687.88/x
  3. Step 3: Cross multiply
    2,004.11x = 3,006.64 × 687.88
  4. Step 4: Simplify right side
    2,004.11x = 2,068,209.24
  5. Step 5: Solve for x
    x = 2,068,209.24/2,004.11
  6. Step 6: Final answer
    x = 1,031.98

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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.