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Finding the Fourth Proportional to 2,003.73, 3,005.60 and 770.91

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Solution

The fourth proportional to 2,003.73, 3,005.60 and 770.91 is: 1,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.73 : 3,005.60 = 770.91 : x
  2. Step 2: Convert to fraction form
    2,003.73/3,005.60 = 770.91/x
  3. Step 3: Cross multiply
    2,003.73x = 3,005.60 × 770.91
  4. Step 4: Simplify right side
    2,003.73x = 2,317,043.24
  5. Step 5: Solve for x
    x = 2,317,043.24/2,003.73
  6. Step 6: Final answer
    x = 1,156.37

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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.