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Finding the Fourth Proportional to 1,928.42, 2,889.90 and 1,409.62

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Solution

The fourth proportional to 1,928.42, 2,889.90 and 1,409.62 is: 2,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.42 : 2,889.90 = 1,409.62 : x
  2. Step 2: Convert to fraction form
    1,928.42/2,889.90 = 1,409.62/x
  3. Step 3: Cross multiply
    1,928.42x = 2,889.90 × 1,409.62
  4. Step 4: Simplify right side
    1,928.42x = 4,073,653.61
  5. Step 5: Solve for x
    x = 4,073,653.61/1,928.42
  6. Step 6: Final answer
    x = 2,112.43

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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.