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Finding the Fourth Proportional to 2,436.27, 3,653.81 and 704.55

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Solution

The fourth proportional to 2,436.27, 3,653.81 and 704.55 is: 1,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.27 : 3,653.81 = 704.55 : x
  2. Step 2: Convert to fraction form
    2,436.27/3,653.81 = 704.55/x
  3. Step 3: Cross multiply
    2,436.27x = 3,653.81 × 704.55
  4. Step 4: Simplify right side
    2,436.27x = 2,574,288.31
  5. Step 5: Solve for x
    x = 2,574,288.31/2,436.27
  6. Step 6: Final answer
    x = 1,056.65

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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.