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Finding the Fourth Proportional to 1,728.97, 2,386.09 and 982.65

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Solution

The fourth proportional to 1,728.97, 2,386.09 and 982.65 is: 1,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.97 : 2,386.09 = 982.65 : x
  2. Step 2: Convert to fraction form
    1,728.97/2,386.09 = 982.65/x
  3. Step 3: Cross multiply
    1,728.97x = 2,386.09 × 982.65
  4. Step 4: Simplify right side
    1,728.97x = 2,344,679.41
  5. Step 5: Solve for x
    x = 2,344,679.41/1,728.97
  6. Step 6: Final answer
    x = 1,356.11

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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.