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Finding the Fourth Proportional to 2,003.19, 3,005.18 and 704.76

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Solution

The fourth proportional to 2,003.19, 3,005.18 and 704.76 is: 1,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.19 : 3,005.18 = 704.76 : x
  2. Step 2: Convert to fraction form
    2,003.19/3,005.18 = 704.76/x
  3. Step 3: Cross multiply
    2,003.19x = 3,005.18 × 704.76
  4. Step 4: Simplify right side
    2,003.19x = 2,117,930.66
  5. Step 5: Solve for x
    x = 2,117,930.66/2,003.19
  6. Step 6: Final answer
    x = 1,057.28

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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.