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Finding the Fourth Proportional to 1,941.44, 2,912.10 and 554.78

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Solution

The fourth proportional to 1,941.44, 2,912.10 and 554.78 is: 832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.44 : 2,912.10 = 554.78 : x
  2. Step 2: Convert to fraction form
    1,941.44/2,912.10 = 554.78/x
  3. Step 3: Cross multiply
    1,941.44x = 2,912.10 × 554.78
  4. Step 4: Simplify right side
    1,941.44x = 1,615,572.58
  5. Step 5: Solve for x
    x = 1,615,572.58/1,941.44
  6. Step 6: Final answer
    x = 832.15

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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.