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Finding the Fourth Proportional to 2,003.58, 3,005.10 and 1,212.48

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Solution

The fourth proportional to 2,003.58, 3,005.10 and 1,212.48 is: 1,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.58 : 3,005.10 = 1,212.48 : x
  2. Step 2: Convert to fraction form
    2,003.58/3,005.10 = 1,212.48/x
  3. Step 3: Cross multiply
    2,003.58x = 3,005.10 × 1,212.48
  4. Step 4: Simplify right side
    2,003.58x = 3,643,623.65
  5. Step 5: Solve for x
    x = 3,643,623.65/2,003.58
  6. Step 6: Final answer
    x = 1,818.56

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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.