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Finding the Fourth Proportional to 3,093.59, 4,640.63 and 1,145.81

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Solution

The fourth proportional to 3,093.59, 4,640.63 and 1,145.81 is: 1,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.59 : 4,640.63 = 1,145.81 : x
  2. Step 2: Convert to fraction form
    3,093.59/4,640.63 = 1,145.81/x
  3. Step 3: Cross multiply
    3,093.59x = 4,640.63 × 1,145.81
  4. Step 4: Simplify right side
    3,093.59x = 5,317,286.13
  5. Step 5: Solve for x
    x = 5,317,286.13/3,093.59
  6. Step 6: Final answer
    x = 1,718.81

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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.