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Finding the Fourth Proportional to 1,968.89, 2,711.79 and 1,821.08

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Solution

The fourth proportional to 1,968.89, 2,711.79 and 1,821.08 is: 2,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.89 : 2,711.79 = 1,821.08 : x
  2. Step 2: Convert to fraction form
    1,968.89/2,711.79 = 1,821.08/x
  3. Step 3: Cross multiply
    1,968.89x = 2,711.79 × 1,821.08
  4. Step 4: Simplify right side
    1,968.89x = 4,938,386.53
  5. Step 5: Solve for x
    x = 4,938,386.53/1,968.89
  6. Step 6: Final answer
    x = 2,508.21

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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.