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Finding the Fourth Proportional to 2,850.56, 4,275.76 and 1,206.68

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Solution

The fourth proportional to 2,850.56, 4,275.76 and 1,206.68 is: 1,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.56 : 4,275.76 = 1,206.68 : x
  2. Step 2: Convert to fraction form
    2,850.56/4,275.76 = 1,206.68/x
  3. Step 3: Cross multiply
    2,850.56x = 4,275.76 × 1,206.68
  4. Step 4: Simplify right side
    2,850.56x = 5,159,474.08
  5. Step 5: Solve for x
    x = 5,159,474.08/2,850.56
  6. Step 6: Final answer
    x = 1,809.99

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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.