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Finding the Fourth Proportional to 1,282.56, 1,908.48 and 1,278.24

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Solution

The fourth proportional to 1,282.56, 1,908.48 and 1,278.24 is: 1,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.56 : 1,908.48 = 1,278.24 : x
  2. Step 2: Convert to fraction form
    1,282.56/1,908.48 = 1,278.24/x
  3. Step 3: Cross multiply
    1,282.56x = 1,908.48 × 1,278.24
  4. Step 4: Simplify right side
    1,282.56x = 2,439,495.48
  5. Step 5: Solve for x
    x = 2,439,495.48/1,282.56
  6. Step 6: Final answer
    x = 1,902.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.