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Finding the Fourth Proportional to 1,521.54, 2,286.57 and 905.34

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Solution

The fourth proportional to 1,521.54, 2,286.57 and 905.34 is: 1,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.54 : 2,286.57 = 905.34 : x
  2. Step 2: Convert to fraction form
    1,521.54/2,286.57 = 905.34/x
  3. Step 3: Cross multiply
    1,521.54x = 2,286.57 × 905.34
  4. Step 4: Simplify right side
    1,521.54x = 2,070,123.28
  5. Step 5: Solve for x
    x = 2,070,123.28/1,521.54
  6. Step 6: Final answer
    x = 1,360.54

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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.