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Finding the Fourth Proportional to 1,286.42, 1,927.82 and 1,013.04

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Solution

The fourth proportional to 1,286.42, 1,927.82 and 1,013.04 is: 1,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.42 : 1,927.82 = 1,013.04 : x
  2. Step 2: Convert to fraction form
    1,286.42/1,927.82 = 1,013.04/x
  3. Step 3: Cross multiply
    1,286.42x = 1,927.82 × 1,013.04
  4. Step 4: Simplify right side
    1,286.42x = 1,952,961.31
  5. Step 5: Solve for x
    x = 1,952,961.31/1,286.42
  6. Step 6: Final answer
    x = 1,518.14

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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.