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Finding the Fourth Proportional to 3,106.51, 4,659.81 and 1,158.31

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Solution

The fourth proportional to 3,106.51, 4,659.81 and 1,158.31 is: 1,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.51 : 4,659.81 = 1,158.31 : x
  2. Step 2: Convert to fraction form
    3,106.51/4,659.81 = 1,158.31/x
  3. Step 3: Cross multiply
    3,106.51x = 4,659.81 × 1,158.31
  4. Step 4: Simplify right side
    3,106.51x = 5,397,504.52
  5. Step 5: Solve for x
    x = 5,397,504.52/3,106.51
  6. Step 6: Final answer
    x = 1,737.48

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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.