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Finding the Fourth Proportional to 2,294.46, 3,439.10 and 1,505.34

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Solution

The fourth proportional to 2,294.46, 3,439.10 and 1,505.34 is: 2,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.46 : 3,439.10 = 1,505.34 : x
  2. Step 2: Convert to fraction form
    2,294.46/3,439.10 = 1,505.34/x
  3. Step 3: Cross multiply
    2,294.46x = 3,439.10 × 1,505.34
  4. Step 4: Simplify right side
    2,294.46x = 5,177,014.79
  5. Step 5: Solve for x
    x = 5,177,014.79/2,294.46
  6. Step 6: Final answer
    x = 2,256.31

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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.