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Finding the Fourth Proportional to 2,569, 3,850.80 and 1,836.40

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Solution

The fourth proportional to 2,569, 3,850.80 and 1,836.40 is: 2,752.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569 : 3,850.80 = 1,836.40 : x
  2. Step 2: Convert to fraction form
    2,569/3,850.80 = 1,836.40/x
  3. Step 3: Cross multiply
    2,569x = 3,850.80 × 1,836.40
  4. Step 4: Simplify right side
    2,569x = 7,071,609.12
  5. Step 5: Solve for x
    x = 7,071,609.12/2,569
  6. Step 6: Final answer
    x = 2,752.67

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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.