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Finding the Fourth Proportional to 2,003.72, 3,012.03 and 1,858.14

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Solution

The fourth proportional to 2,003.72, 3,012.03 and 1,858.14 is: 2,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.72 : 3,012.03 = 1,858.14 : x
  2. Step 2: Convert to fraction form
    2,003.72/3,012.03 = 1,858.14/x
  3. Step 3: Cross multiply
    2,003.72x = 3,012.03 × 1,858.14
  4. Step 4: Simplify right side
    2,003.72x = 5,596,773.42
  5. Step 5: Solve for x
    x = 5,596,773.42/2,003.72
  6. Step 6: Final answer
    x = 2,793.20

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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.