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Finding the Fourth Proportional to 1,361.40, 2,042.80 and 927.68

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Solution

The fourth proportional to 1,361.40, 2,042.80 and 927.68 is: 1,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.40 : 2,042.80 = 927.68 : x
  2. Step 2: Convert to fraction form
    1,361.40/2,042.80 = 927.68/x
  3. Step 3: Cross multiply
    1,361.40x = 2,042.80 × 927.68
  4. Step 4: Simplify right side
    1,361.40x = 1,895,064.70
  5. Step 5: Solve for x
    x = 1,895,064.70/1,361.40
  6. Step 6: Final answer
    x = 1,392.00

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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.