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Finding the Fourth Proportional to 3,121.65, 4,684.68 and 2,302.05

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Solution

The fourth proportional to 3,121.65, 4,684.68 and 2,302.05 is: 3,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.65 : 4,684.68 = 2,302.05 : x
  2. Step 2: Convert to fraction form
    3,121.65/4,684.68 = 2,302.05/x
  3. Step 3: Cross multiply
    3,121.65x = 4,684.68 × 2,302.05
  4. Step 4: Simplify right side
    3,121.65x = 10,784,367.59
  5. Step 5: Solve for x
    x = 10,784,367.59/3,121.65
  6. Step 6: Final answer
    x = 3,454.70

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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.