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Finding the Fourth Proportional to 1,388.96, 1,914.94 and 1,123.12

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Solution

The fourth proportional to 1,388.96, 1,914.94 and 1,123.12 is: 1,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.96 : 1,914.94 = 1,123.12 : x
  2. Step 2: Convert to fraction form
    1,388.96/1,914.94 = 1,123.12/x
  3. Step 3: Cross multiply
    1,388.96x = 1,914.94 × 1,123.12
  4. Step 4: Simplify right side
    1,388.96x = 2,150,707.41
  5. Step 5: Solve for x
    x = 2,150,707.41/1,388.96
  6. Step 6: Final answer
    x = 1,548.43

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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.