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Finding the Fourth Proportional to 2,709.43, 4,061.20 and 1,321.19

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Solution

The fourth proportional to 2,709.43, 4,061.20 and 1,321.19 is: 1,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.43 : 4,061.20 = 1,321.19 : x
  2. Step 2: Convert to fraction form
    2,709.43/4,061.20 = 1,321.19/x
  3. Step 3: Cross multiply
    2,709.43x = 4,061.20 × 1,321.19
  4. Step 4: Simplify right side
    2,709.43x = 5,365,616.83
  5. Step 5: Solve for x
    x = 5,365,616.83/2,709.43
  6. Step 6: Final answer
    x = 1,980.35

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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.