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Finding the Fourth Proportional to 2,589.03, 3,885.30 and 946.08

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Solution

The fourth proportional to 2,589.03, 3,885.30 and 946.08 is: 1,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.03 : 3,885.30 = 946.08 : x
  2. Step 2: Convert to fraction form
    2,589.03/3,885.30 = 946.08/x
  3. Step 3: Cross multiply
    2,589.03x = 3,885.30 × 946.08
  4. Step 4: Simplify right side
    2,589.03x = 3,675,804.62
  5. Step 5: Solve for x
    x = 3,675,804.62/2,589.03
  6. Step 6: Final answer
    x = 1,419.76

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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.