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Finding the Fourth Proportional to 1,511.55, 2,263.74 and 851.81

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Solution

The fourth proportional to 1,511.55, 2,263.74 and 851.81 is: 1,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.55 : 2,263.74 = 851.81 : x
  2. Step 2: Convert to fraction form
    1,511.55/2,263.74 = 851.81/x
  3. Step 3: Cross multiply
    1,511.55x = 2,263.74 × 851.81
  4. Step 4: Simplify right side
    1,511.55x = 1,928,265.05
  5. Step 5: Solve for x
    x = 1,928,265.05/1,511.55
  6. Step 6: Final answer
    x = 1,275.69

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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.