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Finding the Fourth Proportional to 1,442.35, 1,989.92 and 911.27

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Solution

The fourth proportional to 1,442.35, 1,989.92 and 911.27 is: 1,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.35 : 1,989.92 = 911.27 : x
  2. Step 2: Convert to fraction form
    1,442.35/1,989.92 = 911.27/x
  3. Step 3: Cross multiply
    1,442.35x = 1,989.92 × 911.27
  4. Step 4: Simplify right side
    1,442.35x = 1,813,339.89
  5. Step 5: Solve for x
    x = 1,813,339.89/1,442.35
  6. Step 6: Final answer
    x = 1,257.22

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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.