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Finding the Fourth Proportional to 3,106.53, 4,660.61 and 1,158.75

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Solution

The fourth proportional to 3,106.53, 4,660.61 and 1,158.75 is: 1,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.53 : 4,660.61 = 1,158.75 : x
  2. Step 2: Convert to fraction form
    3,106.53/4,660.61 = 1,158.75/x
  3. Step 3: Cross multiply
    3,106.53x = 4,660.61 × 1,158.75
  4. Step 4: Simplify right side
    3,106.53x = 5,400,476.04
  5. Step 5: Solve for x
    x = 5,400,476.04/3,106.53
  6. Step 6: Final answer
    x = 1,738.43

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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.