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Finding the Fourth Proportional to 2,004.14, 3,005.68 and 770.86

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Solution

The fourth proportional to 2,004.14, 3,005.68 and 770.86 is: 1,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.14 : 3,005.68 = 770.86 : x
  2. Step 2: Convert to fraction form
    2,004.14/3,005.68 = 770.86/x
  3. Step 3: Cross multiply
    2,004.14x = 3,005.68 × 770.86
  4. Step 4: Simplify right side
    2,004.14x = 2,316,958.48
  5. Step 5: Solve for x
    x = 2,316,958.48/2,004.14
  6. Step 6: Final answer
    x = 1,156.09

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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.