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Finding the Fourth Proportional to 2,003.12, 3,003.06 and 704.48

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Solution

The fourth proportional to 2,003.12, 3,003.06 and 704.48 is: 1,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.12 : 3,003.06 = 704.48 : x
  2. Step 2: Convert to fraction form
    2,003.12/3,003.06 = 704.48/x
  3. Step 3: Cross multiply
    2,003.12x = 3,003.06 × 704.48
  4. Step 4: Simplify right side
    2,003.12x = 2,115,595.71
  5. Step 5: Solve for x
    x = 2,115,595.71/2,003.12
  6. Step 6: Final answer
    x = 1,056.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.