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Finding the Fourth Proportional to 1,969.40, 2,717.66 and 1,085.03

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Solution

The fourth proportional to 1,969.40, 2,717.66 and 1,085.03 is: 1,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.40 : 2,717.66 = 1,085.03 : x
  2. Step 2: Convert to fraction form
    1,969.40/2,717.66 = 1,085.03/x
  3. Step 3: Cross multiply
    1,969.40x = 2,717.66 × 1,085.03
  4. Step 4: Simplify right side
    1,969.40x = 2,948,752.14
  5. Step 5: Solve for x
    x = 2,948,752.14/1,969.40
  6. Step 6: Final answer
    x = 1,497.29

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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.