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Finding the Fourth Proportional to 3,106.71, 4,660.37 and 1,158.45

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Solution

The fourth proportional to 3,106.71, 4,660.37 and 1,158.45 is: 1,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.71 : 4,660.37 = 1,158.45 : x
  2. Step 2: Convert to fraction form
    3,106.71/4,660.37 = 1,158.45/x
  3. Step 3: Cross multiply
    3,106.71x = 4,660.37 × 1,158.45
  4. Step 4: Simplify right side
    3,106.71x = 5,398,799.83
  5. Step 5: Solve for x
    x = 5,398,799.83/3,106.71
  6. Step 6: Final answer
    x = 1,737.79

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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.