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Finding the Fourth Proportional to 2,527.94, 3,792.14 and 1,141.94

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Solution

The fourth proportional to 2,527.94, 3,792.14 and 1,141.94 is: 1,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.94 : 3,792.14 = 1,141.94 : x
  2. Step 2: Convert to fraction form
    2,527.94/3,792.14 = 1,141.94/x
  3. Step 3: Cross multiply
    2,527.94x = 3,792.14 × 1,141.94
  4. Step 4: Simplify right side
    2,527.94x = 4,330,371.68
  5. Step 5: Solve for x
    x = 4,330,371.68/2,527.94
  6. Step 6: Final answer
    x = 1,713.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.