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Finding the Fourth Proportional to 1,933.40, 2,898.50 and 960.18

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Solution

The fourth proportional to 1,933.40, 2,898.50 and 960.18 is: 1,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.40 : 2,898.50 = 960.18 : x
  2. Step 2: Convert to fraction form
    1,933.40/2,898.50 = 960.18/x
  3. Step 3: Cross multiply
    1,933.40x = 2,898.50 × 960.18
  4. Step 4: Simplify right side
    1,933.40x = 2,783,081.73
  5. Step 5: Solve for x
    x = 2,783,081.73/1,933.40
  6. Step 6: Final answer
    x = 1,439.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.