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Finding the Fourth Proportional to 2,942.96, 4,061.12 and 1,763.44

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Solution

The fourth proportional to 2,942.96, 4,061.12 and 1,763.44 is: 2,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.96 : 4,061.12 = 1,763.44 : x
  2. Step 2: Convert to fraction form
    2,942.96/4,061.12 = 1,763.44/x
  3. Step 3: Cross multiply
    2,942.96x = 4,061.12 × 1,763.44
  4. Step 4: Simplify right side
    2,942.96x = 7,161,541.45
  5. Step 5: Solve for x
    x = 7,161,541.45/2,942.96
  6. Step 6: Final answer
    x = 2,433.45

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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.