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Finding the Fourth Proportional to 1,282.55, 1,921.23 and 1,216.13

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Solution

The fourth proportional to 1,282.55, 1,921.23 and 1,216.13 is: 1,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.55 : 1,921.23 = 1,216.13 : x
  2. Step 2: Convert to fraction form
    1,282.55/1,921.23 = 1,216.13/x
  3. Step 3: Cross multiply
    1,282.55x = 1,921.23 × 1,216.13
  4. Step 4: Simplify right side
    1,282.55x = 2,336,465.44
  5. Step 5: Solve for x
    x = 2,336,465.44/1,282.55
  6. Step 6: Final answer
    x = 1,821.73

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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.