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Finding the Fourth Proportional to 2,154.72, 2,974.87 and 1,491.33

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Solution

The fourth proportional to 2,154.72, 2,974.87 and 1,491.33 is: 2,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.72 : 2,974.87 = 1,491.33 : x
  2. Step 2: Convert to fraction form
    2,154.72/2,974.87 = 1,491.33/x
  3. Step 3: Cross multiply
    2,154.72x = 2,974.87 × 1,491.33
  4. Step 4: Simplify right side
    2,154.72x = 4,436,494.27
  5. Step 5: Solve for x
    x = 4,436,494.27/2,154.72
  6. Step 6: Final answer
    x = 2,058.97

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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.