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Finding the Fourth Proportional to 2,288.59, 3,431.67 and 1,054.95

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Solution

The fourth proportional to 2,288.59, 3,431.67 and 1,054.95 is: 1,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.59 : 3,431.67 = 1,054.95 : x
  2. Step 2: Convert to fraction form
    2,288.59/3,431.67 = 1,054.95/x
  3. Step 3: Cross multiply
    2,288.59x = 3,431.67 × 1,054.95
  4. Step 4: Simplify right side
    2,288.59x = 3,620,240.27
  5. Step 5: Solve for x
    x = 3,620,240.27/2,288.59
  6. Step 6: Final answer
    x = 1,581.86

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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.