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Finding the Fourth Proportional to 1,388.94, 1,914.75 and 946.27

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Solution

The fourth proportional to 1,388.94, 1,914.75 and 946.27 is: 1,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.94 : 1,914.75 = 946.27 : x
  2. Step 2: Convert to fraction form
    1,388.94/1,914.75 = 946.27/x
  3. Step 3: Cross multiply
    1,388.94x = 1,914.75 × 946.27
  4. Step 4: Simplify right side
    1,388.94x = 1,811,872.88
  5. Step 5: Solve for x
    x = 1,811,872.88/1,388.94
  6. Step 6: Final answer
    x = 1,304.50

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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.