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Finding the Fourth Proportional to 2,771.92, 4,158.86 and 1,730.72

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Solution

The fourth proportional to 2,771.92, 4,158.86 and 1,730.72 is: 2,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.92 : 4,158.86 = 1,730.72 : x
  2. Step 2: Convert to fraction form
    2,771.92/4,158.86 = 1,730.72/x
  3. Step 3: Cross multiply
    2,771.92x = 4,158.86 × 1,730.72
  4. Step 4: Simplify right side
    2,771.92x = 7,197,801.38
  5. Step 5: Solve for x
    x = 7,197,801.38/2,771.92
  6. Step 6: Final answer
    x = 2,596.68

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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.