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Finding the Fourth Proportional to 2,293.82, 3,438.30 and 1,744.64

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Solution

The fourth proportional to 2,293.82, 3,438.30 and 1,744.64 is: 2,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.82 : 3,438.30 = 1,744.64 : x
  2. Step 2: Convert to fraction form
    2,293.82/3,438.30 = 1,744.64/x
  3. Step 3: Cross multiply
    2,293.82x = 3,438.30 × 1,744.64
  4. Step 4: Simplify right side
    2,293.82x = 5,998,595.71
  5. Step 5: Solve for x
    x = 5,998,595.71/2,293.82
  6. Step 6: Final answer
    x = 2,615.11

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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.