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Finding the Fourth Proportional to 3,179.16, 4,766.80 and 1,423.84

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Solution

The fourth proportional to 3,179.16, 4,766.80 and 1,423.84 is: 2,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.16 : 4,766.80 = 1,423.84 : x
  2. Step 2: Convert to fraction form
    3,179.16/4,766.80 = 1,423.84/x
  3. Step 3: Cross multiply
    3,179.16x = 4,766.80 × 1,423.84
  4. Step 4: Simplify right side
    3,179.16x = 6,787,160.51
  5. Step 5: Solve for x
    x = 6,787,160.51/3,179.16
  6. Step 6: Final answer
    x = 2,134.89

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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.