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Finding the Fourth Proportional to 2,294.58, 3,434.58 and 1,744.59

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Solution

The fourth proportional to 2,294.58, 3,434.58 and 1,744.59 is: 2,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.58 : 3,434.58 = 1,744.59 : x
  2. Step 2: Convert to fraction form
    2,294.58/3,434.58 = 1,744.59/x
  3. Step 3: Cross multiply
    2,294.58x = 3,434.58 × 1,744.59
  4. Step 4: Simplify right side
    2,294.58x = 5,991,933.92
  5. Step 5: Solve for x
    x = 5,991,933.92/2,294.58
  6. Step 6: Final answer
    x = 2,611.34

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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.