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Finding the Fourth Proportional to 2,906.80, 4,011.72 and 1,727.86

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Solution

The fourth proportional to 2,906.80, 4,011.72 and 1,727.86 is: 2,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.80 : 4,011.72 = 1,727.86 : x
  2. Step 2: Convert to fraction form
    2,906.80/4,011.72 = 1,727.86/x
  3. Step 3: Cross multiply
    2,906.80x = 4,011.72 × 1,727.86
  4. Step 4: Simplify right side
    2,906.80x = 6,931,690.52
  5. Step 5: Solve for x
    x = 6,931,690.52/2,906.80
  6. Step 6: Final answer
    x = 2,384.65

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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.