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Finding the Fourth Proportional to 3,142.50, 4,336.14 and 1,815.96

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Solution

The fourth proportional to 3,142.50, 4,336.14 and 1,815.96 is: 2,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.50 : 4,336.14 = 1,815.96 : x
  2. Step 2: Convert to fraction form
    3,142.50/4,336.14 = 1,815.96/x
  3. Step 3: Cross multiply
    3,142.50x = 4,336.14 × 1,815.96
  4. Step 4: Simplify right side
    3,142.50x = 7,874,256.79
  5. Step 5: Solve for x
    x = 7,874,256.79/3,142.50
  6. Step 6: Final answer
    x = 2,505.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.