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Finding the Fourth Proportional to 1,789.49, 2,683.83 and 911.06

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Solution

The fourth proportional to 1,789.49, 2,683.83 and 911.06 is: 1,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.49 : 2,683.83 = 911.06 : x
  2. Step 2: Convert to fraction form
    1,789.49/2,683.83 = 911.06/x
  3. Step 3: Cross multiply
    1,789.49x = 2,683.83 × 911.06
  4. Step 4: Simplify right side
    1,789.49x = 2,445,116.74
  5. Step 5: Solve for x
    x = 2,445,116.74/1,789.49
  6. Step 6: Final answer
    x = 1,366.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.