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Finding the Fourth Proportional to 2,557.62, 3,836.58 and 914.34

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Solution

The fourth proportional to 2,557.62, 3,836.58 and 914.34 is: 1,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.62 : 3,836.58 = 914.34 : x
  2. Step 2: Convert to fraction form
    2,557.62/3,836.58 = 914.34/x
  3. Step 3: Cross multiply
    2,557.62x = 3,836.58 × 914.34
  4. Step 4: Simplify right side
    2,557.62x = 3,507,938.56
  5. Step 5: Solve for x
    x = 3,507,938.56/2,557.62
  6. Step 6: Final answer
    x = 1,371.56

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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.