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Finding the Fourth Proportional to 2,951.68, 4,073.42 and 1,833.23

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Solution

The fourth proportional to 2,951.68, 4,073.42 and 1,833.23 is: 2,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.68 : 4,073.42 = 1,833.23 : x
  2. Step 2: Convert to fraction form
    2,951.68/4,073.42 = 1,833.23/x
  3. Step 3: Cross multiply
    2,951.68x = 4,073.42 × 1,833.23
  4. Step 4: Simplify right side
    2,951.68x = 7,467,515.75
  5. Step 5: Solve for x
    x = 7,467,515.75/2,951.68
  6. Step 6: Final answer
    x = 2,529.92

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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.