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Finding the Fourth Proportional to 1,405.44, 1,934.64 and 1,216.31

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Solution

The fourth proportional to 1,405.44, 1,934.64 and 1,216.31 is: 1,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.44 : 1,934.64 = 1,216.31 : x
  2. Step 2: Convert to fraction form
    1,405.44/1,934.64 = 1,216.31/x
  3. Step 3: Cross multiply
    1,405.44x = 1,934.64 × 1,216.31
  4. Step 4: Simplify right side
    1,405.44x = 2,353,112.31
  5. Step 5: Solve for x
    x = 2,353,112.31/1,405.44
  6. Step 6: Final answer
    x = 1,674.29

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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.