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Finding the Fourth Proportional to 2,265.71, 3,128.42 and 1,825.67

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Solution

The fourth proportional to 2,265.71, 3,128.42 and 1,825.67 is: 2,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.71 : 3,128.42 = 1,825.67 : x
  2. Step 2: Convert to fraction form
    2,265.71/3,128.42 = 1,825.67/x
  3. Step 3: Cross multiply
    2,265.71x = 3,128.42 × 1,825.67
  4. Step 4: Simplify right side
    2,265.71x = 5,711,474.93
  5. Step 5: Solve for x
    x = 5,711,474.93/2,265.71
  6. Step 6: Final answer
    x = 2,520.84

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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.