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Finding the Fourth Proportional to 2,589.44, 3,884.48 and 946.76

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Solution

The fourth proportional to 2,589.44, 3,884.48 and 946.76 is: 1,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.44 : 3,884.48 = 946.76 : x
  2. Step 2: Convert to fraction form
    2,589.44/3,884.48 = 946.76/x
  3. Step 3: Cross multiply
    2,589.44x = 3,884.48 × 946.76
  4. Step 4: Simplify right side
    2,589.44x = 3,677,670.28
  5. Step 5: Solve for x
    x = 3,677,670.28/2,589.44
  6. Step 6: Final answer
    x = 1,420.26

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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.