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Finding the Fourth Proportional to 1,789.24, 2,683.72 and 911.19

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Solution

The fourth proportional to 1,789.24, 2,683.72 and 911.19 is: 1,366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.24 : 2,683.72 = 911.19 : x
  2. Step 2: Convert to fraction form
    1,789.24/2,683.72 = 911.19/x
  3. Step 3: Cross multiply
    1,789.24x = 2,683.72 × 911.19
  4. Step 4: Simplify right side
    1,789.24x = 2,445,378.83
  5. Step 5: Solve for x
    x = 2,445,378.83/1,789.24
  6. Step 6: Final answer
    x = 1,366.72

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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.