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Finding the Fourth Proportional to 1,969.40, 2,717.87 and 1,118.72

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Solution

The fourth proportional to 1,969.40, 2,717.87 and 1,118.72 is: 1,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.40 : 2,717.87 = 1,118.72 : x
  2. Step 2: Convert to fraction form
    1,969.40/2,717.87 = 1,118.72/x
  3. Step 3: Cross multiply
    1,969.40x = 2,717.87 × 1,118.72
  4. Step 4: Simplify right side
    1,969.40x = 3,040,535.53
  5. Step 5: Solve for x
    x = 3,040,535.53/1,969.40
  6. Step 6: Final answer
    x = 1,543.89

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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.