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Finding the Fourth Proportional to 1,969.10, 2,718.72 and 1,380.42

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Solution

The fourth proportional to 1,969.10, 2,718.72 and 1,380.42 is: 1,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.10 : 2,718.72 = 1,380.42 : x
  2. Step 2: Convert to fraction form
    1,969.10/2,718.72 = 1,380.42/x
  3. Step 3: Cross multiply
    1,969.10x = 2,718.72 × 1,380.42
  4. Step 4: Simplify right side
    1,969.10x = 3,752,975.46
  5. Step 5: Solve for x
    x = 3,752,975.46/1,969.10
  6. Step 6: Final answer
    x = 1,905.93

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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.