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Finding the Fourth Proportional to 2,589.56, 3,880.38 and 1,291.76

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Solution

The fourth proportional to 2,589.56, 3,880.38 and 1,291.76 is: 1,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.56 : 3,880.38 = 1,291.76 : x
  2. Step 2: Convert to fraction form
    2,589.56/3,880.38 = 1,291.76/x
  3. Step 3: Cross multiply
    2,589.56x = 3,880.38 × 1,291.76
  4. Step 4: Simplify right side
    2,589.56x = 5,012,519.67
  5. Step 5: Solve for x
    x = 5,012,519.67/2,589.56
  6. Step 6: Final answer
    x = 1,935.66

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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.