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Finding the Fourth Proportional to 2,805.27, 4,204.46 and 1,400.32

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Solution

The fourth proportional to 2,805.27, 4,204.46 and 1,400.32 is: 2,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.27 : 4,204.46 = 1,400.32 : x
  2. Step 2: Convert to fraction form
    2,805.27/4,204.46 = 1,400.32/x
  3. Step 3: Cross multiply
    2,805.27x = 4,204.46 × 1,400.32
  4. Step 4: Simplify right side
    2,805.27x = 5,887,582.43
  5. Step 5: Solve for x
    x = 5,887,582.43/2,805.27
  6. Step 6: Final answer
    x = 2,098.76

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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.