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Finding the Fourth Proportional to 2,527, 3,792.20 and 883.54

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Solution

The fourth proportional to 2,527, 3,792.20 and 883.54 is: 1,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527 : 3,792.20 = 883.54 : x
  2. Step 2: Convert to fraction form
    2,527/3,792.20 = 883.54/x
  3. Step 3: Cross multiply
    2,527x = 3,792.20 × 883.54
  4. Step 4: Simplify right side
    2,527x = 3,350,560.39
  5. Step 5: Solve for x
    x = 3,350,560.39/2,527
  6. Step 6: Final answer
    x = 1,325.90

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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.