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Finding the Fourth Proportional to 3,243.90, 4,865.58 and 1,944.42

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Solution

The fourth proportional to 3,243.90, 4,865.58 and 1,944.42 is: 2,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.90 : 4,865.58 = 1,944.42 : x
  2. Step 2: Convert to fraction form
    3,243.90/4,865.58 = 1,944.42/x
  3. Step 3: Cross multiply
    3,243.90x = 4,865.58 × 1,944.42
  4. Step 4: Simplify right side
    3,243.90x = 9,460,731.06
  5. Step 5: Solve for x
    x = 9,460,731.06/3,243.90
  6. Step 6: Final answer
    x = 2,916.47

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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.