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Finding the Fourth Proportional to 2,474.45, 3,709.08 and 913.46

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Solution

The fourth proportional to 2,474.45, 3,709.08 and 913.46 is: 1,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.45 : 3,709.08 = 913.46 : x
  2. Step 2: Convert to fraction form
    2,474.45/3,709.08 = 913.46/x
  3. Step 3: Cross multiply
    2,474.45x = 3,709.08 × 913.46
  4. Step 4: Simplify right side
    2,474.45x = 3,388,084.28
  5. Step 5: Solve for x
    x = 3,388,084.28/2,474.45
  6. Step 6: Final answer
    x = 1,369.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.