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Finding the Fourth Proportional to 3,438.41, 5,152.82 and 1,461.65

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Solution

The fourth proportional to 3,438.41, 5,152.82 and 1,461.65 is: 2,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.41 : 5,152.82 = 1,461.65 : x
  2. Step 2: Convert to fraction form
    3,438.41/5,152.82 = 1,461.65/x
  3. Step 3: Cross multiply
    3,438.41x = 5,152.82 × 1,461.65
  4. Step 4: Simplify right side
    3,438.41x = 7,531,586.28
  5. Step 5: Solve for x
    x = 7,531,586.28/3,438.41
  6. Step 6: Final answer
    x = 2,190.43

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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.