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Finding the Fourth Proportional to 2,527.91, 3,784.87 and 1,292.66

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Solution

The fourth proportional to 2,527.91, 3,784.87 and 1,292.66 is: 1,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.91 : 3,784.87 = 1,292.66 : x
  2. Step 2: Convert to fraction form
    2,527.91/3,784.87 = 1,292.66/x
  3. Step 3: Cross multiply
    2,527.91x = 3,784.87 × 1,292.66
  4. Step 4: Simplify right side
    2,527.91x = 4,892,550.05
  5. Step 5: Solve for x
    x = 4,892,550.05/2,527.91
  6. Step 6: Final answer
    x = 1,935.41

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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.