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Finding the Fourth Proportional to 1,461.34, 2,193.12 and 1,072.38

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Solution

The fourth proportional to 1,461.34, 2,193.12 and 1,072.38 is: 1,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.34 : 2,193.12 = 1,072.38 : x
  2. Step 2: Convert to fraction form
    1,461.34/2,193.12 = 1,072.38/x
  3. Step 3: Cross multiply
    1,461.34x = 2,193.12 × 1,072.38
  4. Step 4: Simplify right side
    1,461.34x = 2,351,858.03
  5. Step 5: Solve for x
    x = 2,351,858.03/1,461.34
  6. Step 6: Final answer
    x = 1,609.39

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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.