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Finding the Fourth Proportional to 3,422.73, 4,723.43 and 1,930.35

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Solution

The fourth proportional to 3,422.73, 4,723.43 and 1,930.35 is: 2,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.73 : 4,723.43 = 1,930.35 : x
  2. Step 2: Convert to fraction form
    3,422.73/4,723.43 = 1,930.35/x
  3. Step 3: Cross multiply
    3,422.73x = 4,723.43 × 1,930.35
  4. Step 4: Simplify right side
    3,422.73x = 9,117,877.93
  5. Step 5: Solve for x
    x = 9,117,877.93/3,422.73
  6. Step 6: Final answer
    x = 2,663.92

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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.