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Finding the Fourth Proportional to 2,002.40, 3,003.60 and 1,589.30

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Solution

The fourth proportional to 2,002.40, 3,003.60 and 1,589.30 is: 2,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.40 : 3,003.60 = 1,589.30 : x
  2. Step 2: Convert to fraction form
    2,002.40/3,003.60 = 1,589.30/x
  3. Step 3: Cross multiply
    2,002.40x = 3,003.60 × 1,589.30
  4. Step 4: Simplify right side
    2,002.40x = 4,773,621.48
  5. Step 5: Solve for x
    x = 4,773,621.48/2,002.40
  6. Step 6: Final answer
    x = 2,383.95

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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.