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Finding the Fourth Proportional to 1,941.31, 2,912.46 and 554.65

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Solution

The fourth proportional to 1,941.31, 2,912.46 and 554.65 is: 832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.31 : 2,912.46 = 554.65 : x
  2. Step 2: Convert to fraction form
    1,941.31/2,912.46 = 554.65/x
  3. Step 3: Cross multiply
    1,941.31x = 2,912.46 × 554.65
  4. Step 4: Simplify right side
    1,941.31x = 1,615,395.94
  5. Step 5: Solve for x
    x = 1,615,395.94/1,941.31
  6. Step 6: Final answer
    x = 832.12

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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.