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Finding the Fourth Proportional to 1,400.22, 2,097.27 and 911.18

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Solution

The fourth proportional to 1,400.22, 2,097.27 and 911.18 is: 1,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.22 : 2,097.27 = 911.18 : x
  2. Step 2: Convert to fraction form
    1,400.22/2,097.27 = 911.18/x
  3. Step 3: Cross multiply
    1,400.22x = 2,097.27 × 911.18
  4. Step 4: Simplify right side
    1,400.22x = 1,910,979.99
  5. Step 5: Solve for x
    x = 1,910,979.99/1,400.22
  6. Step 6: Final answer
    x = 1,364.77

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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.