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Finding the Fourth Proportional to 3,092.34, 4,640.31 and 1,145.88

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Solution

The fourth proportional to 3,092.34, 4,640.31 and 1,145.88 is: 1,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.34 : 4,640.31 = 1,145.88 : x
  2. Step 2: Convert to fraction form
    3,092.34/4,640.31 = 1,145.88/x
  3. Step 3: Cross multiply
    3,092.34x = 4,640.31 × 1,145.88
  4. Step 4: Simplify right side
    3,092.34x = 5,317,238.42
  5. Step 5: Solve for x
    x = 5,317,238.42/3,092.34
  6. Step 6: Final answer
    x = 1,719.49

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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.