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Finding the Fourth Proportional to 2,825.65, 4,237.76 and 1,264.78

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Solution

The fourth proportional to 2,825.65, 4,237.76 and 1,264.78 is: 1,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.65 : 4,237.76 = 1,264.78 : x
  2. Step 2: Convert to fraction form
    2,825.65/4,237.76 = 1,264.78/x
  3. Step 3: Cross multiply
    2,825.65x = 4,237.76 × 1,264.78
  4. Step 4: Simplify right side
    2,825.65x = 5,359,834.09
  5. Step 5: Solve for x
    x = 5,359,834.09/2,825.65
  6. Step 6: Final answer
    x = 1,896.85

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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.