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Finding the Fourth Proportional to 1,989.69, 2,746.29 and 1,243.23

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Solution

The fourth proportional to 1,989.69, 2,746.29 and 1,243.23 is: 1,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.69 : 2,746.29 = 1,243.23 : x
  2. Step 2: Convert to fraction form
    1,989.69/2,746.29 = 1,243.23/x
  3. Step 3: Cross multiply
    1,989.69x = 2,746.29 × 1,243.23
  4. Step 4: Simplify right side
    1,989.69x = 3,414,270.12
  5. Step 5: Solve for x
    x = 3,414,270.12/1,989.69
  6. Step 6: Final answer
    x = 1,715.98

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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.