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Finding the Fourth Proportional to 3,106.43, 4,658.03 and 914.87

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Solution

The fourth proportional to 3,106.43, 4,658.03 and 914.87 is: 1,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.43 : 4,658.03 = 914.87 : x
  2. Step 2: Convert to fraction form
    3,106.43/4,658.03 = 914.87/x
  3. Step 3: Cross multiply
    3,106.43x = 4,658.03 × 914.87
  4. Step 4: Simplify right side
    3,106.43x = 4,261,464.04
  5. Step 5: Solve for x
    x = 4,261,464.04/3,106.43
  6. Step 6: Final answer
    x = 1,371.82

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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.