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Finding the Fourth Proportional to 1,941.63, 2,912.61 and 1,713.21

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Solution

The fourth proportional to 1,941.63, 2,912.61 and 1,713.21 is: 2,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.63 : 2,912.61 = 1,713.21 : x
  2. Step 2: Convert to fraction form
    1,941.63/2,912.61 = 1,713.21/x
  3. Step 3: Cross multiply
    1,941.63x = 2,912.61 × 1,713.21
  4. Step 4: Simplify right side
    1,941.63x = 4,989,912.58
  5. Step 5: Solve for x
    x = 4,989,912.58/1,941.63
  6. Step 6: Final answer
    x = 2,569.96

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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.