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Finding the Fourth Proportional to 2,390.90, 3,581.31 and 1,093.46

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Solution

The fourth proportional to 2,390.90, 3,581.31 and 1,093.46 is: 1,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.90 : 3,581.31 = 1,093.46 : x
  2. Step 2: Convert to fraction form
    2,390.90/3,581.31 = 1,093.46/x
  3. Step 3: Cross multiply
    2,390.90x = 3,581.31 × 1,093.46
  4. Step 4: Simplify right side
    2,390.90x = 3,916,019.23
  5. Step 5: Solve for x
    x = 3,916,019.23/2,390.90
  6. Step 6: Final answer
    x = 1,637.88

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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.