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Finding the Fourth Proportional to 2,004.58, 3,006.96 and 771.58

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Solution

The fourth proportional to 2,004.58, 3,006.96 and 771.58 is: 1,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.58 : 3,006.96 = 771.58 : x
  2. Step 2: Convert to fraction form
    2,004.58/3,006.96 = 771.58/x
  3. Step 3: Cross multiply
    2,004.58x = 3,006.96 × 771.58
  4. Step 4: Simplify right side
    2,004.58x = 2,320,110.20
  5. Step 5: Solve for x
    x = 2,320,110.20/2,004.58
  6. Step 6: Final answer
    x = 1,157.40

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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.