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Finding the Fourth Proportional to 2,824.65, 4,236.26 and 1,263.78

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Solution

The fourth proportional to 2,824.65, 4,236.26 and 1,263.78 is: 1,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.65 : 4,236.26 = 1,263.78 : x
  2. Step 2: Convert to fraction form
    2,824.65/4,236.26 = 1,263.78/x
  3. Step 3: Cross multiply
    2,824.65x = 4,236.26 × 1,263.78
  4. Step 4: Simplify right side
    2,824.65x = 5,353,700.66
  5. Step 5: Solve for x
    x = 5,353,700.66/2,824.65
  6. Step 6: Final answer
    x = 1,895.35

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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.