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Finding the Fourth Proportional to 2,171.49, 2,993.67 and 1,374.42

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Solution

The fourth proportional to 2,171.49, 2,993.67 and 1,374.42 is: 1,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.49 : 2,993.67 = 1,374.42 : x
  2. Step 2: Convert to fraction form
    2,171.49/2,993.67 = 1,374.42/x
  3. Step 3: Cross multiply
    2,171.49x = 2,993.67 × 1,374.42
  4. Step 4: Simplify right side
    2,171.49x = 4,114,559.92
  5. Step 5: Solve for x
    x = 4,114,559.92/2,171.49
  6. Step 6: Final answer
    x = 1,894.81

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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.