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Finding the Fourth Proportional to 2,527.42, 3,792.70 and 967.56

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Solution

The fourth proportional to 2,527.42, 3,792.70 and 967.56 is: 1,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.42 : 3,792.70 = 967.56 : x
  2. Step 2: Convert to fraction form
    2,527.42/3,792.70 = 967.56/x
  3. Step 3: Cross multiply
    2,527.42x = 3,792.70 × 967.56
  4. Step 4: Simplify right side
    2,527.42x = 3,669,664.81
  5. Step 5: Solve for x
    x = 3,669,664.81/2,527.42
  6. Step 6: Final answer
    x = 1,451.94

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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.