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Finding the Fourth Proportional to 1,431.41, 1,974.17 and 1,211.09

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Solution

The fourth proportional to 1,431.41, 1,974.17 and 1,211.09 is: 1,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.41 : 1,974.17 = 1,211.09 : x
  2. Step 2: Convert to fraction form
    1,431.41/1,974.17 = 1,211.09/x
  3. Step 3: Cross multiply
    1,431.41x = 1,974.17 × 1,211.09
  4. Step 4: Simplify right side
    1,431.41x = 2,390,890.70
  5. Step 5: Solve for x
    x = 2,390,890.70/1,431.41
  6. Step 6: Final answer
    x = 1,670.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.