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Finding the Fourth Proportional to 1,928.45, 2,898.34 and 1,601.49

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Solution

The fourth proportional to 1,928.45, 2,898.34 and 1,601.49 is: 2,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.45 : 2,898.34 = 1,601.49 : x
  2. Step 2: Convert to fraction form
    1,928.45/2,898.34 = 1,601.49/x
  3. Step 3: Cross multiply
    1,928.45x = 2,898.34 × 1,601.49
  4. Step 4: Simplify right side
    1,928.45x = 4,641,648.03
  5. Step 5: Solve for x
    x = 4,641,648.03/1,928.45
  6. Step 6: Final answer
    x = 2,406.94

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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.